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Finding the Fourth Proportional to 6,534.07, 9,017.10 and 3,549.95

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Solution

The fourth proportional to 6,534.07, 9,017.10 and 3,549.95 is: 4,898.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,534.07 : 9,017.10 = 3,549.95 : x
  2. Step 2: Convert to fraction form
    6,534.07/9,017.10 = 3,549.95/x
  3. Step 3: Cross multiply
    6,534.07x = 9,017.10 × 3,549.95
  4. Step 4: Simplify right side
    6,534.07x = 32,010,254.15
  5. Step 5: Solve for x
    x = 32,010,254.15/6,534.07
  6. Step 6: Final answer
    x = 4,898.98

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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.