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Finding the Fourth Proportional to 6,356, 9,540.45 and 3,071.85

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Solution

The fourth proportional to 6,356, 9,540.45 and 3,071.85 is: 4,610.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,356 : 9,540.45 = 3,071.85 : x
  2. Step 2: Convert to fraction form
    6,356/9,540.45 = 3,071.85/x
  3. Step 3: Cross multiply
    6,356x = 9,540.45 × 3,071.85
  4. Step 4: Simplify right side
    6,356x = 29,306,831.33
  5. Step 5: Solve for x
    x = 29,306,831.33/6,356
  6. Step 6: Final answer
    x = 4,610.89

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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.