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Finding the Fourth Proportional to 9,301.48, 13,952.22 and 3,145

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Solution

The fourth proportional to 9,301.48, 13,952.22 and 3,145 is: 4,717.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,301.48 : 13,952.22 = 3,145 : x
  2. Step 2: Convert to fraction form
    9,301.48/13,952.22 = 3,145/x
  3. Step 3: Cross multiply
    9,301.48x = 13,952.22 × 3,145
  4. Step 4: Simplify right side
    9,301.48x = 43,879,731.90
  5. Step 5: Solve for x
    x = 43,879,731.90/9,301.48
  6. Step 6: Final answer
    x = 4,717.50

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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.