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Finding the Fourth Proportional to 9,652.08, 14,478.12 and 4,314.72

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Solution

The fourth proportional to 9,652.08, 14,478.12 and 4,314.72 is: 6,472.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,652.08 : 14,478.12 = 4,314.72 : x
  2. Step 2: Convert to fraction form
    9,652.08/14,478.12 = 4,314.72/x
  3. Step 3: Cross multiply
    9,652.08x = 14,478.12 × 4,314.72
  4. Step 4: Simplify right side
    9,652.08x = 62,469,033.93
  5. Step 5: Solve for x
    x = 62,469,033.93/9,652.08
  6. Step 6: Final answer
    x = 6,472.08

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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.