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Finding the Fourth Proportional to 9,176.40, 12,678.12 and 8,476.56

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Solution

The fourth proportional to 9,176.40, 12,678.12 and 8,476.56 is: 11,711.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,176.40 : 12,678.12 = 8,476.56 : x
  2. Step 2: Convert to fraction form
    9,176.40/12,678.12 = 8,476.56/x
  3. Step 3: Cross multiply
    9,176.40x = 12,678.12 × 8,476.56
  4. Step 4: Simplify right side
    9,176.40x = 107,466,844.87
  5. Step 5: Solve for x
    x = 107,466,844.87/9,176.40
  6. Step 6: Final answer
    x = 11,711.22

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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.