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Finding the Fourth Proportional to 9,696.24, 13,385.88 and 7,567.20

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Solution

The fourth proportional to 9,696.24, 13,385.88 and 7,567.20 is: 10,446.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,696.24 : 13,385.88 = 7,567.20 : x
  2. Step 2: Convert to fraction form
    9,696.24/13,385.88 = 7,567.20/x
  3. Step 3: Cross multiply
    9,696.24x = 13,385.88 × 7,567.20
  4. Step 4: Simplify right side
    9,696.24x = 101,293,631.14
  5. Step 5: Solve for x
    x = 101,293,631.14/9,696.24
  6. Step 6: Final answer
    x = 10,446.69

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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.