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Finding the Fourth Proportional to 9,724.70, 14,587.35 and 3,801.35

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Solution

The fourth proportional to 9,724.70, 14,587.35 and 3,801.35 is: 5,702.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,724.70 : 14,587.35 = 3,801.35 : x
  2. Step 2: Convert to fraction form
    9,724.70/14,587.35 = 3,801.35/x
  3. Step 3: Cross multiply
    9,724.70x = 14,587.35 × 3,801.35
  4. Step 4: Simplify right side
    9,724.70x = 55,451,622.92
  5. Step 5: Solve for x
    x = 55,451,622.92/9,724.70
  6. Step 6: Final answer
    x = 5,702.14

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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.