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Finding the Fourth Proportional to 10,099.84, 13,937.52 and 9,801.76

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Solution

The fourth proportional to 10,099.84, 13,937.52 and 9,801.76 is: 13,526.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,099.84 : 13,937.52 = 9,801.76 : x
  2. Step 2: Convert to fraction form
    10,099.84/13,937.52 = 9,801.76/x
  3. Step 3: Cross multiply
    10,099.84x = 13,937.52 × 9,801.76
  4. Step 4: Simplify right side
    10,099.84x = 136,612,226.04
  5. Step 5: Solve for x
    x = 136,612,226.04/10,099.84
  6. Step 6: Final answer
    x = 13,526.18

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.