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Finding the Fourth Proportional to 9,950.66, 14,920.84 and 2,929.76

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Solution

The fourth proportional to 9,950.66, 14,920.84 and 2,929.76 is: 4,393.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,950.66 : 14,920.84 = 2,929.76 : x
  2. Step 2: Convert to fraction form
    9,950.66/14,920.84 = 2,929.76/x
  3. Step 3: Cross multiply
    9,950.66x = 14,920.84 × 2,929.76
  4. Step 4: Simplify right side
    9,950.66x = 43,714,480.20
  5. Step 5: Solve for x
    x = 43,714,480.20/9,950.66
  6. Step 6: Final answer
    x = 4,393.12

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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.