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Finding the Fourth Proportional to 6,988.96, 9,648.76 and 4,634.30

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Solution

The fourth proportional to 6,988.96, 9,648.76 and 4,634.30 is: 6,397.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,988.96 : 9,648.76 = 4,634.30 : x
  2. Step 2: Convert to fraction form
    6,988.96/9,648.76 = 4,634.30/x
  3. Step 3: Cross multiply
    6,988.96x = 9,648.76 × 4,634.30
  4. Step 4: Simplify right side
    6,988.96x = 44,715,248.47
  5. Step 5: Solve for x
    x = 44,715,248.47/6,988.96
  6. Step 6: Final answer
    x = 6,397.98

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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.