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Finding the Fourth Proportional to 9,250.10, 12,749.59 and 7,011.26

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Solution

The fourth proportional to 9,250.10, 12,749.59 and 7,011.26 is: 9,663.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,250.10 : 12,749.59 = 7,011.26 : x
  2. Step 2: Convert to fraction form
    9,250.10/12,749.59 = 7,011.26/x
  3. Step 3: Cross multiply
    9,250.10x = 12,749.59 × 7,011.26
  4. Step 4: Simplify right side
    9,250.10x = 89,390,690.38
  5. Step 5: Solve for x
    x = 89,390,690.38/9,250.10
  6. Step 6: Final answer
    x = 9,663.75

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.