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Finding the Fourth Proportional to 9,915.41, 13,646.88 and 8,697.38

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Solution

The fourth proportional to 9,915.41, 13,646.88 and 8,697.38 is: 11,970.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,915.41 : 13,646.88 = 8,697.38 : x
  2. Step 2: Convert to fraction form
    9,915.41/13,646.88 = 8,697.38/x
  3. Step 3: Cross multiply
    9,915.41x = 13,646.88 × 8,697.38
  4. Step 4: Simplify right side
    9,915.41x = 118,692,032.94
  5. Step 5: Solve for x
    x = 118,692,032.94/9,915.41
  6. Step 6: Final answer
    x = 11,970.46

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.