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Finding the Fourth Proportional to 9,598.57, 14,373.82 and 6,077.96

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Solution

The fourth proportional to 9,598.57, 14,373.82 and 6,077.96 is: 9,101.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,598.57 : 14,373.82 = 6,077.96 : x
  2. Step 2: Convert to fraction form
    9,598.57/14,373.82 = 6,077.96/x
  3. Step 3: Cross multiply
    9,598.57x = 14,373.82 × 6,077.96
  4. Step 4: Simplify right side
    9,598.57x = 87,363,431.14
  5. Step 5: Solve for x
    x = 87,363,431.14/9,598.57
  6. Step 6: Final answer
    x = 9,101.71

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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.