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Finding the Fourth Proportional to 9,319.92, 13,984.56 and 4,389

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Solution

The fourth proportional to 9,319.92, 13,984.56 and 4,389 is: 6,585.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,319.92 : 13,984.56 = 4,389 : x
  2. Step 2: Convert to fraction form
    9,319.92/13,984.56 = 4,389/x
  3. Step 3: Cross multiply
    9,319.92x = 13,984.56 × 4,389
  4. Step 4: Simplify right side
    9,319.92x = 61,378,233.84
  5. Step 5: Solve for x
    x = 61,378,233.84/9,319.92
  6. Step 6: Final answer
    x = 6,585.70

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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.