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Finding the Fourth Proportional to 9,123.41, 13,685.12 and 7,046.45

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Solution

The fourth proportional to 9,123.41, 13,685.12 and 7,046.45 is: 10,569.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,123.41 : 13,685.12 = 7,046.45 : x
  2. Step 2: Convert to fraction form
    9,123.41/13,685.12 = 7,046.45/x
  3. Step 3: Cross multiply
    9,123.41x = 13,685.12 × 7,046.45
  4. Step 4: Simplify right side
    9,123.41x = 96,431,513.82
  5. Step 5: Solve for x
    x = 96,431,513.82/9,123.41
  6. Step 6: Final answer
    x = 10,569.68

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.