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Finding the Fourth Proportional to 9,848.38, 13,590.88 and 5,372.12

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Solution

The fourth proportional to 9,848.38, 13,590.88 and 5,372.12 is: 7,413.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,848.38 : 13,590.88 = 5,372.12 : x
  2. Step 2: Convert to fraction form
    9,848.38/13,590.88 = 5,372.12/x
  3. Step 3: Cross multiply
    9,848.38x = 13,590.88 × 5,372.12
  4. Step 4: Simplify right side
    9,848.38x = 73,011,838.27
  5. Step 5: Solve for x
    x = 73,011,838.27/9,848.38
  6. Step 6: Final answer
    x = 7,413.59

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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.