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Finding the Fourth Proportional to 9,527.52, 14,292.06 and 2,507.52

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Solution

The fourth proportional to 9,527.52, 14,292.06 and 2,507.52 is: 3,761.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,527.52 : 14,292.06 = 2,507.52 : x
  2. Step 2: Convert to fraction form
    9,527.52/14,292.06 = 2,507.52/x
  3. Step 3: Cross multiply
    9,527.52x = 14,292.06 × 2,507.52
  4. Step 4: Simplify right side
    9,527.52x = 35,837,626.29
  5. Step 5: Solve for x
    x = 35,837,626.29/9,527.52
  6. Step 6: Final answer
    x = 3,761.49

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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.