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Finding the Fourth Proportional to 9,898.92, 14,761.02 and 9,810.03

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Solution

The fourth proportional to 9,898.92, 14,761.02 and 9,810.03 is: 14,628.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,898.92 : 14,761.02 = 9,810.03 : x
  2. Step 2: Convert to fraction form
    9,898.92/14,761.02 = 9,810.03/x
  3. Step 3: Cross multiply
    9,898.92x = 14,761.02 × 9,810.03
  4. Step 4: Simplify right side
    9,898.92x = 144,806,049.03
  5. Step 5: Solve for x
    x = 144,806,049.03/9,898.92
  6. Step 6: Final answer
    x = 14,628.47

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.