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Finding the Fourth Proportional to 9,398.40, 14,102.20 and 6,642.78

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Solution

The fourth proportional to 9,398.40, 14,102.20 and 6,642.78 is: 9,967.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,398.40 : 14,102.20 = 6,642.78 : x
  2. Step 2: Convert to fraction form
    9,398.40/14,102.20 = 6,642.78/x
  3. Step 3: Cross multiply
    9,398.40x = 14,102.20 × 6,642.78
  4. Step 4: Simplify right side
    9,398.40x = 93,677,886.52
  5. Step 5: Solve for x
    x = 93,677,886.52/9,398.40
  6. Step 6: Final answer
    x = 9,967.42

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.