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Finding the Fourth Proportional to 9,851.68, 14,781.84 and 4,306.42

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Solution

The fourth proportional to 9,851.68, 14,781.84 and 4,306.42 is: 6,461.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,851.68 : 14,781.84 = 4,306.42 : x
  2. Step 2: Convert to fraction form
    9,851.68/14,781.84 = 4,306.42/x
  3. Step 3: Cross multiply
    9,851.68x = 14,781.84 × 4,306.42
  4. Step 4: Simplify right side
    9,851.68x = 63,656,811.41
  5. Step 5: Solve for x
    x = 63,656,811.41/9,851.68
  6. Step 6: Final answer
    x = 6,461.52

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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.