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Finding the Fourth Proportional to 6,534.18, 9,017.01 and 3,549.95

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Solution

The fourth proportional to 6,534.18, 9,017.01 and 3,549.95 is: 4,898.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,534.18 : 9,017.01 = 3,549.95 : x
  2. Step 2: Convert to fraction form
    6,534.18/9,017.01 = 3,549.95/x
  3. Step 3: Cross multiply
    6,534.18x = 9,017.01 × 3,549.95
  4. Step 4: Simplify right side
    6,534.18x = 32,009,934.65
  5. Step 5: Solve for x
    x = 32,009,934.65/6,534.18
  6. Step 6: Final answer
    x = 4,898.84

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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.