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Finding the Fourth Proportional to 9,294.30, 13,923.18 and 5,585.58

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Solution

The fourth proportional to 9,294.30, 13,923.18 and 5,585.58 is: 8,367.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,294.30 : 13,923.18 = 5,585.58 : x
  2. Step 2: Convert to fraction form
    9,294.30/13,923.18 = 5,585.58/x
  3. Step 3: Cross multiply
    9,294.30x = 13,923.18 × 5,585.58
  4. Step 4: Simplify right side
    9,294.30x = 77,769,035.74
  5. Step 5: Solve for x
    x = 77,769,035.74/9,294.30
  6. Step 6: Final answer
    x = 8,367.39

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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.