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Finding the Fourth Proportional to 6,531.98, 9,747.60 and 5,831.16

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Solution

The fourth proportional to 6,531.98, 9,747.60 and 5,831.16 is: 8,701.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,531.98 : 9,747.60 = 5,831.16 : x
  2. Step 2: Convert to fraction form
    6,531.98/9,747.60 = 5,831.16/x
  3. Step 3: Cross multiply
    6,531.98x = 9,747.60 × 5,831.16
  4. Step 4: Simplify right side
    6,531.98x = 56,839,815.22
  5. Step 5: Solve for x
    x = 56,839,815.22/6,531.98
  6. Step 6: Final answer
    x = 8,701.77

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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.