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Finding the Fourth Proportional to 9,902.32, 14,859.24 and 3,746.80

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Solution

The fourth proportional to 9,902.32, 14,859.24 and 3,746.80 is: 5,622.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,902.32 : 14,859.24 = 3,746.80 : x
  2. Step 2: Convert to fraction form
    9,902.32/14,859.24 = 3,746.80/x
  3. Step 3: Cross multiply
    9,902.32x = 14,859.24 × 3,746.80
  4. Step 4: Simplify right side
    9,902.32x = 55,674,600.43
  5. Step 5: Solve for x
    x = 55,674,600.43/9,902.32
  6. Step 6: Final answer
    x = 5,622.38

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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.