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Finding the Fourth Proportional to 10,727.76, 14,796.18 and 9,399.16

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Solution

The fourth proportional to 10,727.76, 14,796.18 and 9,399.16 is: 12,963.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,727.76 : 14,796.18 = 9,399.16 : x
  2. Step 2: Convert to fraction form
    10,727.76/14,796.18 = 9,399.16/x
  3. Step 3: Cross multiply
    10,727.76x = 14,796.18 × 9,399.16
  4. Step 4: Simplify right side
    10,727.76x = 139,071,663.21
  5. Step 5: Solve for x
    x = 139,071,663.21/10,727.76
  6. Step 6: Final answer
    x = 12,963.72

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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.