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Finding the Fourth Proportional to 10,731.84, 14,801.28 and 9,473.76

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Solution

The fourth proportional to 10,731.84, 14,801.28 and 9,473.76 is: 13,066.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,731.84 : 14,801.28 = 9,473.76 : x
  2. Step 2: Convert to fraction form
    10,731.84/14,801.28 = 9,473.76/x
  3. Step 3: Cross multiply
    10,731.84x = 14,801.28 × 9,473.76
  4. Step 4: Simplify right side
    10,731.84x = 140,223,774.41
  5. Step 5: Solve for x
    x = 140,223,774.41/10,731.84
  6. Step 6: Final answer
    x = 13,066.14

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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.