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Finding the Fourth Proportional to 9,913.74, 14,870.18 and 3,339.90

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Solution

The fourth proportional to 9,913.74, 14,870.18 and 3,339.90 is: 5,009.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,913.74 : 14,870.18 = 3,339.90 : x
  2. Step 2: Convert to fraction form
    9,913.74/14,870.18 = 3,339.90/x
  3. Step 3: Cross multiply
    9,913.74x = 14,870.18 × 3,339.90
  4. Step 4: Simplify right side
    9,913.74x = 49,664,922.53
  5. Step 5: Solve for x
    x = 49,664,922.53/9,913.74
  6. Step 6: Final answer
    x = 5,009.71

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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.