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Finding the Fourth Proportional to 9,398.72, 14,098.05 and 4,200.95

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Solution

The fourth proportional to 9,398.72, 14,098.05 and 4,200.95 is: 6,301.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,398.72 : 14,098.05 = 4,200.95 : x
  2. Step 2: Convert to fraction form
    9,398.72/14,098.05 = 4,200.95/x
  3. Step 3: Cross multiply
    9,398.72x = 14,098.05 × 4,200.95
  4. Step 4: Simplify right side
    9,398.72x = 59,225,159.09
  5. Step 5: Solve for x
    x = 59,225,159.09/9,398.72
  6. Step 6: Final answer
    x = 6,301.41

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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.