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Finding the Fourth Proportional to 9,612.66, 14,406.57 and 4,928.79

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Solution

The fourth proportional to 9,612.66, 14,406.57 and 4,928.79 is: 7,386.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,612.66 : 14,406.57 = 4,928.79 : x
  2. Step 2: Convert to fraction form
    9,612.66/14,406.57 = 4,928.79/x
  3. Step 3: Cross multiply
    9,612.66x = 14,406.57 × 4,928.79
  4. Step 4: Simplify right side
    9,612.66x = 71,006,958.15
  5. Step 5: Solve for x
    x = 71,006,958.15/9,612.66
  6. Step 6: Final answer
    x = 7,386.82

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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.