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Finding the Fourth Proportional to 6,352.96, 8,767.08 and 3,702.16

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Solution

The fourth proportional to 6,352.96, 8,767.08 and 3,702.16 is: 5,108.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,352.96 : 8,767.08 = 3,702.16 : x
  2. Step 2: Convert to fraction form
    6,352.96/8,767.08 = 3,702.16/x
  3. Step 3: Cross multiply
    6,352.96x = 8,767.08 × 3,702.16
  4. Step 4: Simplify right side
    6,352.96x = 32,457,132.89
  5. Step 5: Solve for x
    x = 32,457,132.89/6,352.96
  6. Step 6: Final answer
    x = 5,108.98

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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.