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Finding the Fourth Proportional to 9,798.96, 13,523.28 and 5,607.12

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Solution

The fourth proportional to 9,798.96, 13,523.28 and 5,607.12 is: 7,738.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,798.96 : 13,523.28 = 5,607.12 : x
  2. Step 2: Convert to fraction form
    9,798.96/13,523.28 = 5,607.12/x
  3. Step 3: Cross multiply
    9,798.96x = 13,523.28 × 5,607.12
  4. Step 4: Simplify right side
    9,798.96x = 75,826,653.75
  5. Step 5: Solve for x
    x = 75,826,653.75/9,798.96
  6. Step 6: Final answer
    x = 7,738.23

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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.