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Finding the Fourth Proportional to 9,123.40, 12,593.71 and 7,102.81

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Solution

The fourth proportional to 9,123.40, 12,593.71 and 7,102.81 is: 9,804.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,123.40 : 12,593.71 = 7,102.81 : x
  2. Step 2: Convert to fraction form
    9,123.40/12,593.71 = 7,102.81/x
  3. Step 3: Cross multiply
    9,123.40x = 12,593.71 × 7,102.81
  4. Step 4: Simplify right side
    9,123.40x = 89,450,713.99
  5. Step 5: Solve for x
    x = 89,450,713.99/9,123.40
  6. Step 6: Final answer
    x = 9,804.54

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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.