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Finding the Fourth Proportional to 9,722.40, 14,575.05 and 5,763.90

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Solution

The fourth proportional to 9,722.40, 14,575.05 and 5,763.90 is: 8,640.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,722.40 : 14,575.05 = 5,763.90 : x
  2. Step 2: Convert to fraction form
    9,722.40/14,575.05 = 5,763.90/x
  3. Step 3: Cross multiply
    9,722.40x = 14,575.05 × 5,763.90
  4. Step 4: Simplify right side
    9,722.40x = 84,009,130.70
  5. Step 5: Solve for x
    x = 84,009,130.70/9,722.40
  6. Step 6: Final answer
    x = 8,640.78

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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.