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Finding the Fourth Proportional to 9,612.84, 14,406.78 and 4,928.96

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Solution

The fourth proportional to 9,612.84, 14,406.78 and 4,928.96 is: 7,387.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,612.84 : 14,406.78 = 4,928.96 : x
  2. Step 2: Convert to fraction form
    9,612.84/14,406.78 = 4,928.96/x
  3. Step 3: Cross multiply
    9,612.84x = 14,406.78 × 4,928.96
  4. Step 4: Simplify right side
    9,612.84x = 71,010,442.35
  5. Step 5: Solve for x
    x = 71,010,442.35/9,612.84
  6. Step 6: Final answer
    x = 7,387.04

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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.