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Finding the Fourth Proportional to 6,534.53, 9,014.85 and 4,411.43

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Solution

The fourth proportional to 6,534.53, 9,014.85 and 4,411.43 is: 6,085.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,534.53 : 9,014.85 = 4,411.43 : x
  2. Step 2: Convert to fraction form
    6,534.53/9,014.85 = 4,411.43/x
  3. Step 3: Cross multiply
    6,534.53x = 9,014.85 × 4,411.43
  4. Step 4: Simplify right side
    6,534.53x = 39,768,334.66
  5. Step 5: Solve for x
    x = 39,768,334.66/6,534.53
  6. Step 6: Final answer
    x = 6,085.88

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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.