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Finding the Fourth Proportional to 9,483.92, 14,214.36 and 6,711.40

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Solution

The fourth proportional to 9,483.92, 14,214.36 and 6,711.40 is: 10,058.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,483.92 : 14,214.36 = 6,711.40 : x
  2. Step 2: Convert to fraction form
    9,483.92/14,214.36 = 6,711.40/x
  3. Step 3: Cross multiply
    9,483.92x = 14,214.36 × 6,711.40
  4. Step 4: Simplify right side
    9,483.92x = 95,398,255.70
  5. Step 5: Solve for x
    x = 95,398,255.70/9,483.92
  6. Step 6: Final answer
    x = 10,058.95

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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.