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Finding the Fourth Proportional to 9,891.42, 14,837.13 and 8,421.18

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Solution

The fourth proportional to 9,891.42, 14,837.13 and 8,421.18 is: 12,631.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,891.42 : 14,837.13 = 8,421.18 : x
  2. Step 2: Convert to fraction form
    9,891.42/14,837.13 = 8,421.18/x
  3. Step 3: Cross multiply
    9,891.42x = 14,837.13 × 8,421.18
  4. Step 4: Simplify right side
    9,891.42x = 124,946,142.41
  5. Step 5: Solve for x
    x = 124,946,142.41/9,891.42
  6. Step 6: Final answer
    x = 12,631.77

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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.