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Finding the Fourth Proportional to 9,781.84, 14,632.62 and 8,140.60

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Solution

The fourth proportional to 9,781.84, 14,632.62 and 8,140.60 is: 12,177.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,781.84 : 14,632.62 = 8,140.60 : x
  2. Step 2: Convert to fraction form
    9,781.84/14,632.62 = 8,140.60/x
  3. Step 3: Cross multiply
    9,781.84x = 14,632.62 × 8,140.60
  4. Step 4: Simplify right side
    9,781.84x = 119,118,306.37
  5. Step 5: Solve for x
    x = 119,118,306.37/9,781.84
  6. Step 6: Final answer
    x = 12,177.49

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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.