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Finding the Fourth Proportional to 6,368.16, 9,559.16 and 5,385.55

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Solution

The fourth proportional to 6,368.16, 9,559.16 and 5,385.55 is: 8,084.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,368.16 : 9,559.16 = 5,385.55 : x
  2. Step 2: Convert to fraction form
    6,368.16/9,559.16 = 5,385.55/x
  3. Step 3: Cross multiply
    6,368.16x = 9,559.16 × 5,385.55
  4. Step 4: Simplify right side
    6,368.16x = 51,481,324.48
  5. Step 5: Solve for x
    x = 51,481,324.48/6,368.16
  6. Step 6: Final answer
    x = 8,084.17

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.