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Finding the Fourth Proportional to 9,114.87, 13,678.45 and 3,567.52

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Solution

The fourth proportional to 9,114.87, 13,678.45 and 3,567.52 is: 5,353.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,114.87 : 13,678.45 = 3,567.52 : x
  2. Step 2: Convert to fraction form
    9,114.87/13,678.45 = 3,567.52/x
  3. Step 3: Cross multiply
    9,114.87x = 13,678.45 × 3,567.52
  4. Step 4: Simplify right side
    9,114.87x = 48,798,143.94
  5. Step 5: Solve for x
    x = 48,798,143.94/9,114.87
  6. Step 6: Final answer
    x = 5,353.69

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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.