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Finding the Fourth Proportional to 9,652.38, 13,320.54 and 5,460.72

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Solution

The fourth proportional to 9,652.38, 13,320.54 and 5,460.72 is: 7,535.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,652.38 : 13,320.54 = 5,460.72 : x
  2. Step 2: Convert to fraction form
    9,652.38/13,320.54 = 5,460.72/x
  3. Step 3: Cross multiply
    9,652.38x = 13,320.54 × 5,460.72
  4. Step 4: Simplify right side
    9,652.38x = 72,739,739.19
  5. Step 5: Solve for x
    x = 72,739,739.19/9,652.38
  6. Step 6: Final answer
    x = 7,535.94

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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.