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Finding the Fourth Proportional to 9,708.32, 13,393.68 and 5,975.84

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Solution

The fourth proportional to 9,708.32, 13,393.68 and 5,975.84 is: 8,244.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,708.32 : 13,393.68 = 5,975.84 : x
  2. Step 2: Convert to fraction form
    9,708.32/13,393.68 = 5,975.84/x
  3. Step 3: Cross multiply
    9,708.32x = 13,393.68 × 5,975.84
  4. Step 4: Simplify right side
    9,708.32x = 80,038,488.69
  5. Step 5: Solve for x
    x = 80,038,488.69/9,708.32
  6. Step 6: Final answer
    x = 8,244.32

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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.