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Finding the Fourth Proportional to 6,534.93, 9,017.15 and 4,297.71

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Solution

The fourth proportional to 6,534.93, 9,017.15 and 4,297.71 is: 5,930.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,534.93 : 9,017.15 = 4,297.71 : x
  2. Step 2: Convert to fraction form
    6,534.93/9,017.15 = 4,297.71/x
  3. Step 3: Cross multiply
    6,534.93x = 9,017.15 × 4,297.71
  4. Step 4: Simplify right side
    6,534.93x = 38,753,050.64
  5. Step 5: Solve for x
    x = 38,753,050.64/6,534.93
  6. Step 6: Final answer
    x = 5,930.14

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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.