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Finding the Fourth Proportional to 6,478.27, 9,715.41 and 4,256.98

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Solution

The fourth proportional to 6,478.27, 9,715.41 and 4,256.98 is: 6,384.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,478.27 : 9,715.41 = 4,256.98 : x
  2. Step 2: Convert to fraction form
    6,478.27/9,715.41 = 4,256.98/x
  3. Step 3: Cross multiply
    6,478.27x = 9,715.41 × 4,256.98
  4. Step 4: Simplify right side
    6,478.27x = 41,358,291.14
  5. Step 5: Solve for x
    x = 41,358,291.14/6,478.27
  6. Step 6: Final answer
    x = 6,384.16

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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.