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Finding the Fourth Proportional to 6,373.77, 9,526.49 and 5,747.64

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Solution

The fourth proportional to 6,373.77, 9,526.49 and 5,747.64 is: 8,590.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,373.77 : 9,526.49 = 5,747.64 : x
  2. Step 2: Convert to fraction form
    6,373.77/9,526.49 = 5,747.64/x
  3. Step 3: Cross multiply
    6,373.77x = 9,526.49 × 5,747.64
  4. Step 4: Simplify right side
    6,373.77x = 54,754,806.25
  5. Step 5: Solve for x
    x = 54,754,806.25/6,373.77
  6. Step 6: Final answer
    x = 8,590.65

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.