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Finding the Fourth Proportional to 9,389.58, 12,957.42 and 5,140.53

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Solution

The fourth proportional to 9,389.58, 12,957.42 and 5,140.53 is: 7,093.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,389.58 : 12,957.42 = 5,140.53 : x
  2. Step 2: Convert to fraction form
    9,389.58/12,957.42 = 5,140.53/x
  3. Step 3: Cross multiply
    9,389.58x = 12,957.42 × 5,140.53
  4. Step 4: Simplify right side
    9,389.58x = 66,608,006.23
  5. Step 5: Solve for x
    x = 66,608,006.23/9,389.58
  6. Step 6: Final answer
    x = 7,093.82

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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.