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Finding the Fourth Proportional to 9,915.80, 13,693.06 and 6,385.16

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Solution

The fourth proportional to 9,915.80, 13,693.06 and 6,385.16 is: 8,817.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,915.80 : 13,693.06 = 6,385.16 : x
  2. Step 2: Convert to fraction form
    9,915.80/13,693.06 = 6,385.16/x
  3. Step 3: Cross multiply
    9,915.80x = 13,693.06 × 6,385.16
  4. Step 4: Simplify right side
    9,915.80x = 87,432,378.99
  5. Step 5: Solve for x
    x = 87,432,378.99/9,915.80
  6. Step 6: Final answer
    x = 8,817.48

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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.