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Finding the Fourth Proportional to 9,793.40, 14,690.16 and 2,397.92

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Solution

The fourth proportional to 9,793.40, 14,690.16 and 2,397.92 is: 3,596.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,793.40 : 14,690.16 = 2,397.92 : x
  2. Step 2: Convert to fraction form
    9,793.40/14,690.16 = 2,397.92/x
  3. Step 3: Cross multiply
    9,793.40x = 14,690.16 × 2,397.92
  4. Step 4: Simplify right side
    9,793.40x = 35,225,828.47
  5. Step 5: Solve for x
    x = 35,225,828.47/9,793.40
  6. Step 6: Final answer
    x = 3,596.89

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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.