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Finding the Fourth Proportional to 9,793.47, 14,690.10 and 2,397.90

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Solution

The fourth proportional to 9,793.47, 14,690.10 and 2,397.90 is: 3,596.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,793.47 : 14,690.10 = 2,397.90 : x
  2. Step 2: Convert to fraction form
    9,793.47/14,690.10 = 2,397.90/x
  3. Step 3: Cross multiply
    9,793.47x = 14,690.10 × 2,397.90
  4. Step 4: Simplify right side
    9,793.47x = 35,225,390.79
  5. Step 5: Solve for x
    x = 35,225,390.79/9,793.47
  6. Step 6: Final answer
    x = 3,596.82

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Why These Related Problems?

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