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Finding the Fourth Proportional to 9,458.56, 13,050.24 and 5,729.92

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Solution

The fourth proportional to 9,458.56, 13,050.24 and 5,729.92 is: 7,905.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,458.56 : 13,050.24 = 5,729.92 : x
  2. Step 2: Convert to fraction form
    9,458.56/13,050.24 = 5,729.92/x
  3. Step 3: Cross multiply
    9,458.56x = 13,050.24 × 5,729.92
  4. Step 4: Simplify right side
    9,458.56x = 74,776,831.18
  5. Step 5: Solve for x
    x = 74,776,831.18/9,458.56
  6. Step 6: Final answer
    x = 7,905.73

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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.