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Finding the Fourth Proportional to 9,876.32, 13,623.40 and 6,519.20

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Solution

The fourth proportional to 9,876.32, 13,623.40 and 6,519.20 is: 8,992.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,876.32 : 13,623.40 = 6,519.20 : x
  2. Step 2: Convert to fraction form
    9,876.32/13,623.40 = 6,519.20/x
  3. Step 3: Cross multiply
    9,876.32x = 13,623.40 × 6,519.20
  4. Step 4: Simplify right side
    9,876.32x = 88,813,669.28
  5. Step 5: Solve for x
    x = 88,813,669.28/9,876.32
  6. Step 6: Final answer
    x = 8,992.59

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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.