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Finding the Fourth Proportional to 9,915.77, 13,684.40 and 6,552.69

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Solution

The fourth proportional to 9,915.77, 13,684.40 and 6,552.69 is: 9,043.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,915.77 : 13,684.40 = 6,552.69 : x
  2. Step 2: Convert to fraction form
    9,915.77/13,684.40 = 6,552.69/x
  3. Step 3: Cross multiply
    9,915.77x = 13,684.40 × 6,552.69
  4. Step 4: Simplify right side
    9,915.77x = 89,669,647.42
  5. Step 5: Solve for x
    x = 89,669,647.42/9,915.77
  6. Step 6: Final answer
    x = 9,043.13

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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.