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Finding the Fourth Proportional to 6,314.72, 8,702.48 and 4,543.24

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Solution

The fourth proportional to 6,314.72, 8,702.48 and 4,543.24 is: 6,261.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,314.72 : 8,702.48 = 4,543.24 : x
  2. Step 2: Convert to fraction form
    6,314.72/8,702.48 = 4,543.24/x
  3. Step 3: Cross multiply
    6,314.72x = 8,702.48 × 4,543.24
  4. Step 4: Simplify right side
    6,314.72x = 39,537,455.24
  5. Step 5: Solve for x
    x = 39,537,455.24/6,314.72
  6. Step 6: Final answer
    x = 6,261.16

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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.