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Finding the Fourth Proportional to 6,560.66, 9,032.82 and 6,113.54

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Solution

The fourth proportional to 6,560.66, 9,032.82 and 6,113.54 is: 8,417.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,560.66 : 9,032.82 = 6,113.54 : x
  2. Step 2: Convert to fraction form
    6,560.66/9,032.82 = 6,113.54/x
  3. Step 3: Cross multiply
    6,560.66x = 9,032.82 × 6,113.54
  4. Step 4: Simplify right side
    6,560.66x = 55,222,506.04
  5. Step 5: Solve for x
    x = 55,222,506.04/6,560.66
  6. Step 6: Final answer
    x = 8,417.21

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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.