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Finding the Fourth Proportional to 9,887.13, 14,817.87 and 7,402.41

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Solution

The fourth proportional to 9,887.13, 14,817.87 and 7,402.41 is: 11,094.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,887.13 : 14,817.87 = 7,402.41 : x
  2. Step 2: Convert to fraction form
    9,887.13/14,817.87 = 7,402.41/x
  3. Step 3: Cross multiply
    9,887.13x = 14,817.87 × 7,402.41
  4. Step 4: Simplify right side
    9,887.13x = 109,687,949.07
  5. Step 5: Solve for x
    x = 109,687,949.07/9,887.13
  6. Step 6: Final answer
    x = 11,094.01

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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.