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Finding the Fourth Proportional to 9,633.76, 14,447.70 and 4,087

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Solution

The fourth proportional to 9,633.76, 14,447.70 and 4,087 is: 6,129.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,633.76 : 14,447.70 = 4,087 : x
  2. Step 2: Convert to fraction form
    9,633.76/14,447.70 = 4,087/x
  3. Step 3: Cross multiply
    9,633.76x = 14,447.70 × 4,087
  4. Step 4: Simplify right side
    9,633.76x = 59,047,749.90
  5. Step 5: Solve for x
    x = 59,047,749.90/9,633.76
  6. Step 6: Final answer
    x = 6,129.25

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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.