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Finding the Fourth Proportional to 9,885.40, 14,823.30 and 5,498.20

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Solution

The fourth proportional to 9,885.40, 14,823.30 and 5,498.20 is: 8,244.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,885.40 : 14,823.30 = 5,498.20 : x
  2. Step 2: Convert to fraction form
    9,885.40/14,823.30 = 5,498.20/x
  3. Step 3: Cross multiply
    9,885.40x = 14,823.30 × 5,498.20
  4. Step 4: Simplify right side
    9,885.40x = 81,501,468.06
  5. Step 5: Solve for x
    x = 81,501,468.06/9,885.40
  6. Step 6: Final answer
    x = 8,244.63

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.