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Finding the Fourth Proportional to 9,569.34, 13,201.94 and 7,057.48

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Solution

The fourth proportional to 9,569.34, 13,201.94 and 7,057.48 is: 9,736.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,569.34 : 13,201.94 = 7,057.48 : x
  2. Step 2: Convert to fraction form
    9,569.34/13,201.94 = 7,057.48/x
  3. Step 3: Cross multiply
    9,569.34x = 13,201.94 × 7,057.48
  4. Step 4: Simplify right side
    9,569.34x = 93,172,397.21
  5. Step 5: Solve for x
    x = 93,172,397.21/9,569.34
  6. Step 6: Final answer
    x = 9,736.55

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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.