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Finding the Fourth Proportional to 9,277.96, 13,898.39 and 5,578.16

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Solution

The fourth proportional to 9,277.96, 13,898.39 and 5,578.16 is: 8,356.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,277.96 : 13,898.39 = 5,578.16 : x
  2. Step 2: Convert to fraction form
    9,277.96/13,898.39 = 5,578.16/x
  3. Step 3: Cross multiply
    9,277.96x = 13,898.39 × 5,578.16
  4. Step 4: Simplify right side
    9,277.96x = 77,527,387.62
  5. Step 5: Solve for x
    x = 77,527,387.62/9,277.96
  6. Step 6: Final answer
    x = 8,356.08

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.