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Finding the Fourth Proportional to 6,478.38, 9,719.19 and 6,007.77

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Solution

The fourth proportional to 6,478.38, 9,719.19 and 6,007.77 is: 9,013.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,478.38 : 9,719.19 = 6,007.77 : x
  2. Step 2: Convert to fraction form
    6,478.38/9,719.19 = 6,007.77/x
  3. Step 3: Cross multiply
    6,478.38x = 9,719.19 × 6,007.77
  4. Step 4: Simplify right side
    6,478.38x = 58,390,658.11
  5. Step 5: Solve for x
    x = 58,390,658.11/6,478.38
  6. Step 6: Final answer
    x = 9,013.16

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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.