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Finding the Fourth Proportional to 9,928.40, 14,892.08 and 4,380.24

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Solution

The fourth proportional to 9,928.40, 14,892.08 and 4,380.24 is: 6,570.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,928.40 : 14,892.08 = 4,380.24 : x
  2. Step 2: Convert to fraction form
    9,928.40/14,892.08 = 4,380.24/x
  3. Step 3: Cross multiply
    9,928.40x = 14,892.08 × 4,380.24
  4. Step 4: Simplify right side
    9,928.40x = 65,230,884.50
  5. Step 5: Solve for x
    x = 65,230,884.50/9,928.40
  6. Step 6: Final answer
    x = 6,570.13

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Why These Related Problems?

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