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Finding the Fourth Proportional to 9,438.68, 13,006.18 and 7,301.23

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Solution

The fourth proportional to 9,438.68, 13,006.18 and 7,301.23 is: 10,060.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,438.68 : 13,006.18 = 7,301.23 : x
  2. Step 2: Convert to fraction form
    9,438.68/13,006.18 = 7,301.23/x
  3. Step 3: Cross multiply
    9,438.68x = 13,006.18 × 7,301.23
  4. Step 4: Simplify right side
    9,438.68x = 94,961,111.60
  5. Step 5: Solve for x
    x = 94,961,111.60/9,438.68
  6. Step 6: Final answer
    x = 10,060.85

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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.