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Finding the Fourth Proportional to 9,854.92, 14,784.84 and 2,929.42

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Solution

The fourth proportional to 9,854.92, 14,784.84 and 2,929.42 is: 4,394.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,854.92 : 14,784.84 = 2,929.42 : x
  2. Step 2: Convert to fraction form
    9,854.92/14,784.84 = 2,929.42/x
  3. Step 3: Cross multiply
    9,854.92x = 14,784.84 × 2,929.42
  4. Step 4: Simplify right side
    9,854.92x = 43,311,005.99
  5. Step 5: Solve for x
    x = 43,311,005.99/9,854.92
  6. Step 6: Final answer
    x = 4,394.86

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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.