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Finding the Fourth Proportional to 9,259.72, 13,899.34 and 9,050.76

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Solution

The fourth proportional to 9,259.72, 13,899.34 and 9,050.76 is: 13,585.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,259.72 : 13,899.34 = 9,050.76 : x
  2. Step 2: Convert to fraction form
    9,259.72/13,899.34 = 9,050.76/x
  3. Step 3: Cross multiply
    9,259.72x = 13,899.34 × 9,050.76
  4. Step 4: Simplify right side
    9,259.72x = 125,799,590.50
  5. Step 5: Solve for x
    x = 125,799,590.50/9,259.72
  6. Step 6: Final answer
    x = 13,585.68

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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.