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Finding the Fourth Proportional to 37,639.72, 56,461.98 and 9,937

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Solution

The fourth proportional to 37,639.72, 56,461.98 and 9,937 is: 14,906.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,639.72 : 56,461.98 = 9,937 : x
  2. Step 2: Convert to fraction form
    37,639.72/56,461.98 = 9,937/x
  3. Step 3: Cross multiply
    37,639.72x = 56,461.98 × 9,937
  4. Step 4: Simplify right side
    37,639.72x = 561,062,695.26
  5. Step 5: Solve for x
    x = 561,062,695.26/37,639.72
  6. Step 6: Final answer
    x = 14,906.13

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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.