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Finding the Fourth Proportional to 9,348.56, 12,895.32 and 5,569.24

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Solution

The fourth proportional to 9,348.56, 12,895.32 and 5,569.24 is: 7,682.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,348.56 : 12,895.32 = 5,569.24 : x
  2. Step 2: Convert to fraction form
    9,348.56/12,895.32 = 5,569.24/x
  3. Step 3: Cross multiply
    9,348.56x = 12,895.32 × 5,569.24
  4. Step 4: Simplify right side
    9,348.56x = 71,817,131.96
  5. Step 5: Solve for x
    x = 71,817,131.96/9,348.56
  6. Step 6: Final answer
    x = 7,682.16

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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.