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Finding the Fourth Proportional to 6,549.16, 9,039.21 and 4,314.64

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Solution

The fourth proportional to 6,549.16, 9,039.21 and 4,314.64 is: 5,955.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,549.16 : 9,039.21 = 4,314.64 : x
  2. Step 2: Convert to fraction form
    6,549.16/9,039.21 = 4,314.64/x
  3. Step 3: Cross multiply
    6,549.16x = 9,039.21 × 4,314.64
  4. Step 4: Simplify right side
    6,549.16x = 39,000,937.03
  5. Step 5: Solve for x
    x = 39,000,937.03/6,549.16
  6. Step 6: Final answer
    x = 5,955.11

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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.