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Finding the Fourth Proportional to 9,929.64, 14,894.50 and 3,355.89

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Solution

The fourth proportional to 9,929.64, 14,894.50 and 3,355.89 is: 5,033.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,929.64 : 14,894.50 = 3,355.89 : x
  2. Step 2: Convert to fraction form
    9,929.64/14,894.50 = 3,355.89/x
  3. Step 3: Cross multiply
    9,929.64x = 14,894.50 × 3,355.89
  4. Step 4: Simplify right side
    9,929.64x = 49,984,303.61
  5. Step 5: Solve for x
    x = 49,984,303.61/9,929.64
  6. Step 6: Final answer
    x = 5,033.85

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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.