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Finding the Fourth Proportional to 9,904.65, 14,856.25 and 3,661.76

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Solution

The fourth proportional to 9,904.65, 14,856.25 and 3,661.76 is: 5,492.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,904.65 : 14,856.25 = 3,661.76 : x
  2. Step 2: Convert to fraction form
    9,904.65/14,856.25 = 3,661.76/x
  3. Step 3: Cross multiply
    9,904.65x = 14,856.25 × 3,661.76
  4. Step 4: Simplify right side
    9,904.65x = 54,399,938.56
  5. Step 5: Solve for x
    x = 54,399,938.56/9,904.65
  6. Step 6: Final answer
    x = 5,492.36

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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.