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Finding the Fourth Proportional to 9,112.56, 13,671 and 3,566.40

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Solution

The fourth proportional to 9,112.56, 13,671 and 3,566.40 is: 5,350.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,112.56 : 13,671 = 3,566.40 : x
  2. Step 2: Convert to fraction form
    9,112.56/13,671 = 3,566.40/x
  3. Step 3: Cross multiply
    9,112.56x = 13,671 × 3,566.40
  4. Step 4: Simplify right side
    9,112.56x = 48,756,254.40
  5. Step 5: Solve for x
    x = 48,756,254.40/9,112.56
  6. Step 6: Final answer
    x = 5,350.45

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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.