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Finding the Fourth Proportional to 9,753.85, 14,617.07 and 5,587.61

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Solution

The fourth proportional to 9,753.85, 14,617.07 and 5,587.61 is: 8,373.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,753.85 : 14,617.07 = 5,587.61 : x
  2. Step 2: Convert to fraction form
    9,753.85/14,617.07 = 5,587.61/x
  3. Step 3: Cross multiply
    9,753.85x = 14,617.07 × 5,587.61
  4. Step 4: Simplify right side
    9,753.85x = 81,674,458.56
  5. Step 5: Solve for x
    x = 81,674,458.56/9,753.85
  6. Step 6: Final answer
    x = 8,373.57

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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.