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Finding the Fourth Proportional to 9,879.95, 14,824.02 and 4,330.42

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Solution

The fourth proportional to 9,879.95, 14,824.02 and 4,330.42 is: 6,497.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,879.95 : 14,824.02 = 4,330.42 : x
  2. Step 2: Convert to fraction form
    9,879.95/14,824.02 = 4,330.42/x
  3. Step 3: Cross multiply
    9,879.95x = 14,824.02 × 4,330.42
  4. Step 4: Simplify right side
    9,879.95x = 64,194,232.69
  5. Step 5: Solve for x
    x = 64,194,232.69/9,879.95
  6. Step 6: Final answer
    x = 6,497.42

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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.