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Finding the Fourth Proportional to 9,503.38, 14,257.50 and 7,671.16

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Solution

The fourth proportional to 9,503.38, 14,257.50 and 7,671.16 is: 11,508.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,503.38 : 14,257.50 = 7,671.16 : x
  2. Step 2: Convert to fraction form
    9,503.38/14,257.50 = 7,671.16/x
  3. Step 3: Cross multiply
    9,503.38x = 14,257.50 × 7,671.16
  4. Step 4: Simplify right side
    9,503.38x = 109,371,563.70
  5. Step 5: Solve for x
    x = 109,371,563.70/9,503.38
  6. Step 6: Final answer
    x = 11,508.70

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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.