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Finding the Fourth Proportional to 9,164.16, 12,614.58 and 7,909.20

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Solution

The fourth proportional to 9,164.16, 12,614.58 and 7,909.20 is: 10,887.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,164.16 : 12,614.58 = 7,909.20 : x
  2. Step 2: Convert to fraction form
    9,164.16/12,614.58 = 7,909.20/x
  3. Step 3: Cross multiply
    9,164.16x = 12,614.58 × 7,909.20
  4. Step 4: Simplify right side
    9,164.16x = 99,771,236.14
  5. Step 5: Solve for x
    x = 99,771,236.14/9,164.16
  6. Step 6: Final answer
    x = 10,887.11

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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.