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Finding the Fourth Proportional to 6,534.10, 9,017 and 3,549.92

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Solution

The fourth proportional to 6,534.10, 9,017 and 3,549.92 is: 4,898.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,534.10 : 9,017 = 3,549.92 : x
  2. Step 2: Convert to fraction form
    6,534.10/9,017 = 3,549.92/x
  3. Step 3: Cross multiply
    6,534.10x = 9,017 × 3,549.92
  4. Step 4: Simplify right side
    6,534.10x = 32,009,628.64
  5. Step 5: Solve for x
    x = 32,009,628.64/6,534.10
  6. Step 6: Final answer
    x = 4,898.86

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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.