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Finding the Fourth Proportional to 9,287.76, 13,927.55 and 4,358.81

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Solution

The fourth proportional to 9,287.76, 13,927.55 and 4,358.81 is: 6,536.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,287.76 : 13,927.55 = 4,358.81 : x
  2. Step 2: Convert to fraction form
    9,287.76/13,927.55 = 4,358.81/x
  3. Step 3: Cross multiply
    9,287.76x = 13,927.55 × 4,358.81
  4. Step 4: Simplify right side
    9,287.76x = 60,707,557.24
  5. Step 5: Solve for x
    x = 60,707,557.24/9,287.76
  6. Step 6: Final answer
    x = 6,536.29

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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.