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Finding the Fourth Proportional to 9,898.71, 14,846.67 and 2,502.71

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Solution

The fourth proportional to 9,898.71, 14,846.67 and 2,502.71 is: 3,753.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,898.71 : 14,846.67 = 2,502.71 : x
  2. Step 2: Convert to fraction form
    9,898.71/14,846.67 = 2,502.71/x
  3. Step 3: Cross multiply
    9,898.71x = 14,846.67 × 2,502.71
  4. Step 4: Simplify right side
    9,898.71x = 37,156,946.59
  5. Step 5: Solve for x
    x = 37,156,946.59/9,898.71
  6. Step 6: Final answer
    x = 3,753.72

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