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Finding the Fourth Proportional to 9,848, 13,590.24 and 5,432

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Solution

The fourth proportional to 9,848, 13,590.24 and 5,432 is: 7,496.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,848 : 13,590.24 = 5,432 : x
  2. Step 2: Convert to fraction form
    9,848/13,590.24 = 5,432/x
  3. Step 3: Cross multiply
    9,848x = 13,590.24 × 5,432
  4. Step 4: Simplify right side
    9,848x = 73,822,183.68
  5. Step 5: Solve for x
    x = 73,822,183.68/9,848
  6. Step 6: Final answer
    x = 7,496.16

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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.