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Finding the Fourth Proportional to 9,915.96, 13,684.74 and 5,666.92

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Solution

The fourth proportional to 9,915.96, 13,684.74 and 5,666.92 is: 7,820.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,915.96 : 13,684.74 = 5,666.92 : x
  2. Step 2: Convert to fraction form
    9,915.96/13,684.74 = 5,666.92/x
  3. Step 3: Cross multiply
    9,915.96x = 13,684.74 × 5,666.92
  4. Step 4: Simplify right side
    9,915.96x = 77,550,326.80
  5. Step 5: Solve for x
    x = 77,550,326.80/9,915.96
  6. Step 6: Final answer
    x = 7,820.76

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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.