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Finding the Fourth Proportional to 9,003.66, 12,421.58 and 5,640.62

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Solution

The fourth proportional to 9,003.66, 12,421.58 and 5,640.62 is: 7,781.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,003.66 : 12,421.58 = 5,640.62 : x
  2. Step 2: Convert to fraction form
    9,003.66/12,421.58 = 5,640.62/x
  3. Step 3: Cross multiply
    9,003.66x = 12,421.58 × 5,640.62
  4. Step 4: Simplify right side
    9,003.66x = 70,065,364.57
  5. Step 5: Solve for x
    x = 70,065,364.57/9,003.66
  6. Step 6: Final answer
    x = 7,781.88

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.