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Finding the Fourth Proportional to 9,661, 13,332.18 and 5,469.25

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Solution

The fourth proportional to 9,661, 13,332.18 and 5,469.25 is: 7,547.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,661 : 13,332.18 = 5,469.25 : x
  2. Step 2: Convert to fraction form
    9,661/13,332.18 = 5,469.25/x
  3. Step 3: Cross multiply
    9,661x = 13,332.18 × 5,469.25
  4. Step 4: Simplify right side
    9,661x = 72,917,025.47
  5. Step 5: Solve for x
    x = 72,917,025.47/9,661
  6. Step 6: Final answer
    x = 7,547.57

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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.