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Finding the Fourth Proportional to 9,005.44, 13,502.40 and 3,808

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Solution

The fourth proportional to 9,005.44, 13,502.40 and 3,808 is: 5,709.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,005.44 : 13,502.40 = 3,808 : x
  2. Step 2: Convert to fraction form
    9,005.44/13,502.40 = 3,808/x
  3. Step 3: Cross multiply
    9,005.44x = 13,502.40 × 3,808
  4. Step 4: Simplify right side
    9,005.44x = 51,417,139.20
  5. Step 5: Solve for x
    x = 51,417,139.20/9,005.44
  6. Step 6: Final answer
    x = 5,709.56

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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.