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Finding the Fourth Proportional to 9,569.02, 13,175.31 and 8,694.22

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Solution

The fourth proportional to 9,569.02, 13,175.31 and 8,694.22 is: 11,970.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,569.02 : 13,175.31 = 8,694.22 : x
  2. Step 2: Convert to fraction form
    9,569.02/13,175.31 = 8,694.22/x
  3. Step 3: Cross multiply
    9,569.02x = 13,175.31 × 8,694.22
  4. Step 4: Simplify right side
    9,569.02x = 114,549,043.71
  5. Step 5: Solve for x
    x = 114,549,043.71/9,569.02
  6. Step 6: Final answer
    x = 11,970.82

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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.