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Finding the Fourth Proportional to 6,497,455.87, 8,966,987.12 and 3,706,640.54

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Solution

The fourth proportional to 6,497,455.87, 8,966,987.12 and 3,706,640.54 is: 5,115,448.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,497,455.87 : 8,966,987.12 = 3,706,640.54 : x
  2. Step 2: Convert to fraction form
    6,497,455.87/8,966,987.12 = 3,706,640.54/x
  3. Step 3: Cross multiply
    6,497,455.87x = 8,966,987.12 × 3,706,640.54
  4. Step 4: Simplify right side
    6,497,455.87x = 33,237,398,018,722.09
  5. Step 5: Solve for x
    x = 33,237,398,018,722.09/6,497,455.87
  6. Step 6: Final answer
    x = 5,115,448.06

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.