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Finding the Fourth Proportional to 8,702.30, 12,003.74 and 6,431.32

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Solution

The fourth proportional to 8,702.30, 12,003.74 and 6,431.32 is: 8,871.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,702.30 : 12,003.74 = 6,431.32 : x
  2. Step 2: Convert to fraction form
    8,702.30/12,003.74 = 6,431.32/x
  3. Step 3: Cross multiply
    8,702.30x = 12,003.74 × 6,431.32
  4. Step 4: Simplify right side
    8,702.30x = 77,199,868.76
  5. Step 5: Solve for x
    x = 77,199,868.76/8,702.30
  6. Step 6: Final answer
    x = 8,871.20

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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.