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Finding the Fourth Proportional to 9,922.48, 14,830.28 and 8,663.08

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Solution

The fourth proportional to 9,922.48, 14,830.28 and 8,663.08 is: 12,947.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,922.48 : 14,830.28 = 8,663.08 : x
  2. Step 2: Convert to fraction form
    9,922.48/14,830.28 = 8,663.08/x
  3. Step 3: Cross multiply
    9,922.48x = 14,830.28 × 8,663.08
  4. Step 4: Simplify right side
    9,922.48x = 128,475,902.06
  5. Step 5: Solve for x
    x = 128,475,902.06/9,922.48
  6. Step 6: Final answer
    x = 12,947.96

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.