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Finding the Fourth Proportional to 9,867.75, 14,808.92 and 4,673.63

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Solution

The fourth proportional to 9,867.75, 14,808.92 and 4,673.63 is: 7,013.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,867.75 : 14,808.92 = 4,673.63 : x
  2. Step 2: Convert to fraction form
    9,867.75/14,808.92 = 4,673.63/x
  3. Step 3: Cross multiply
    9,867.75x = 14,808.92 × 4,673.63
  4. Step 4: Simplify right side
    9,867.75x = 69,211,315.37
  5. Step 5: Solve for x
    x = 69,211,315.37/9,867.75
  6. Step 6: Final answer
    x = 7,013.89

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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.