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Finding the Fourth Proportional to 9,117.75, 13,671.15 and 3,564.48

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Solution

The fourth proportional to 9,117.75, 13,671.15 and 3,564.48 is: 5,344.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,117.75 : 13,671.15 = 3,564.48 : x
  2. Step 2: Convert to fraction form
    9,117.75/13,671.15 = 3,564.48/x
  3. Step 3: Cross multiply
    9,117.75x = 13,671.15 × 3,564.48
  4. Step 4: Simplify right side
    9,117.75x = 48,730,570.28
  5. Step 5: Solve for x
    x = 48,730,570.28/9,117.75
  6. Step 6: Final answer
    x = 5,344.58

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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.