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Finding the Fourth Proportional to 9,835.65, 14,758.88 and 4,641.39

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Solution

The fourth proportional to 9,835.65, 14,758.88 and 4,641.39 is: 6,964.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,835.65 : 14,758.88 = 4,641.39 : x
  2. Step 2: Convert to fraction form
    9,835.65/14,758.88 = 4,641.39/x
  3. Step 3: Cross multiply
    9,835.65x = 14,758.88 × 4,641.39
  4. Step 4: Simplify right side
    9,835.65x = 68,501,694.84
  5. Step 5: Solve for x
    x = 68,501,694.84/9,835.65
  6. Step 6: Final answer
    x = 6,964.63

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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.