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Finding the Fourth Proportional to 9,569.26, 13,207.80 and 6,037.30

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Solution

The fourth proportional to 9,569.26, 13,207.80 and 6,037.30 is: 8,332.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,569.26 : 13,207.80 = 6,037.30 : x
  2. Step 2: Convert to fraction form
    9,569.26/13,207.80 = 6,037.30/x
  3. Step 3: Cross multiply
    9,569.26x = 13,207.80 × 6,037.30
  4. Step 4: Simplify right side
    9,569.26x = 79,739,450.94
  5. Step 5: Solve for x
    x = 79,739,450.94/9,569.26
  6. Step 6: Final answer
    x = 8,332.88

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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.