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Finding the Fourth Proportional to 9,208.32, 12,707.28 and 5,229.36

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Solution

The fourth proportional to 9,208.32, 12,707.28 and 5,229.36 is: 7,216.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,208.32 : 12,707.28 = 5,229.36 : x
  2. Step 2: Convert to fraction form
    9,208.32/12,707.28 = 5,229.36/x
  3. Step 3: Cross multiply
    9,208.32x = 12,707.28 × 5,229.36
  4. Step 4: Simplify right side
    9,208.32x = 66,450,941.74
  5. Step 5: Solve for x
    x = 66,450,941.74/9,208.32
  6. Step 6: Final answer
    x = 7,216.40

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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.