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Finding the Fourth Proportional to 6,356.19, 9,538.02 and 2,658.14

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Solution

The fourth proportional to 6,356.19, 9,538.02 and 2,658.14 is: 3,988.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,356.19 : 9,538.02 = 2,658.14 : x
  2. Step 2: Convert to fraction form
    6,356.19/9,538.02 = 2,658.14/x
  3. Step 3: Cross multiply
    6,356.19x = 9,538.02 × 2,658.14
  4. Step 4: Simplify right side
    6,356.19x = 25,353,344.79
  5. Step 5: Solve for x
    x = 25,353,344.79/6,356.19
  6. Step 6: Final answer
    x = 3,988.76

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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.