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Finding the Fourth Proportional to 9,893.34, 14,839.38 and 2,497.77

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Solution

The fourth proportional to 9,893.34, 14,839.38 and 2,497.77 is: 3,746.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,893.34 : 14,839.38 = 2,497.77 : x
  2. Step 2: Convert to fraction form
    9,893.34/14,839.38 = 2,497.77/x
  3. Step 3: Cross multiply
    9,893.34x = 14,839.38 × 2,497.77
  4. Step 4: Simplify right side
    9,893.34x = 37,065,358.18
  5. Step 5: Solve for x
    x = 37,065,358.18/9,893.34
  6. Step 6: Final answer
    x = 3,746.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.