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Finding the Fourth Proportional to 6,849,340.02, 9,450,978.52 and 4,097,164.68

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Solution

The fourth proportional to 6,849,340.02, 9,450,978.52 and 4,097,164.68 is: 5,653,422.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,849,340.02 : 9,450,978.52 = 4,097,164.68 : x
  2. Step 2: Convert to fraction form
    6,849,340.02/9,450,978.52 = 4,097,164.68/x
  3. Step 3: Cross multiply
    6,849,340.02x = 9,450,978.52 × 4,097,164.68
  4. Step 4: Simplify right side
    6,849,340.02x = 38,722,215,407,210.12
  5. Step 5: Solve for x
    x = 38,722,215,407,210.12/6,849,340.02
  6. Step 6: Final answer
    x = 5,653,422.85

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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.