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Finding the Fourth Proportional to 9,540.84, 14,314.66 and 5,800.22

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Solution

The fourth proportional to 9,540.84, 14,314.66 and 5,800.22 is: 8,702.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,540.84 : 14,314.66 = 5,800.22 : x
  2. Step 2: Convert to fraction form
    9,540.84/14,314.66 = 5,800.22/x
  3. Step 3: Cross multiply
    9,540.84x = 14,314.66 × 5,800.22
  4. Step 4: Simplify right side
    9,540.84x = 83,028,177.23
  5. Step 5: Solve for x
    x = 83,028,177.23/9,540.84
  6. Step 6: Final answer
    x = 8,702.40

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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.