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Finding the Fourth Proportional to 9,685.76, 13,367.30 and 5,708.16

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Solution

The fourth proportional to 9,685.76, 13,367.30 and 5,708.16 is: 7,877.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,685.76 : 13,367.30 = 5,708.16 : x
  2. Step 2: Convert to fraction form
    9,685.76/13,367.30 = 5,708.16/x
  3. Step 3: Cross multiply
    9,685.76x = 13,367.30 × 5,708.16
  4. Step 4: Simplify right side
    9,685.76x = 76,302,658.63
  5. Step 5: Solve for x
    x = 76,302,658.63/9,685.76
  6. Step 6: Final answer
    x = 7,877.82

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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.