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Finding the Fourth Proportional to 7,132.77, 9,839.90 and 4,615.69

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Solution

The fourth proportional to 7,132.77, 9,839.90 and 4,615.69 is: 6,367.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,132.77 : 9,839.90 = 4,615.69 : x
  2. Step 2: Convert to fraction form
    7,132.77/9,839.90 = 4,615.69/x
  3. Step 3: Cross multiply
    7,132.77x = 9,839.90 × 4,615.69
  4. Step 4: Simplify right side
    7,132.77x = 45,417,880.35
  5. Step 5: Solve for x
    x = 45,417,880.35/7,132.77
  6. Step 6: Final answer
    x = 6,367.50

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.