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Finding the Fourth Proportional to 9,451.56, 13,041.54 and 5,259

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Solution

The fourth proportional to 9,451.56, 13,041.54 and 5,259 is: 7,256.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,451.56 : 13,041.54 = 5,259 : x
  2. Step 2: Convert to fraction form
    9,451.56/13,041.54 = 5,259/x
  3. Step 3: Cross multiply
    9,451.56x = 13,041.54 × 5,259
  4. Step 4: Simplify right side
    9,451.56x = 68,585,458.86
  5. Step 5: Solve for x
    x = 68,585,458.86/9,451.56
  6. Step 6: Final answer
    x = 7,256.52

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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.