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Finding the Fourth Proportional to 6,689.80, 9,239.72 and 6,301

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Solution

The fourth proportional to 6,689.80, 9,239.72 and 6,301 is: 8,702.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,689.80 : 9,239.72 = 6,301 : x
  2. Step 2: Convert to fraction form
    6,689.80/9,239.72 = 6,301/x
  3. Step 3: Cross multiply
    6,689.80x = 9,239.72 × 6,301
  4. Step 4: Simplify right side
    6,689.80x = 58,219,475.72
  5. Step 5: Solve for x
    x = 58,219,475.72/6,689.80
  6. Step 6: Final answer
    x = 8,702.72

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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.