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Finding the Fourth Proportional to 9,603.48, 13,253.87 and 5,354.92

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Solution

The fourth proportional to 9,603.48, 13,253.87 and 5,354.92 is: 7,390.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,603.48 : 13,253.87 = 5,354.92 : x
  2. Step 2: Convert to fraction form
    9,603.48/13,253.87 = 5,354.92/x
  3. Step 3: Cross multiply
    9,603.48x = 13,253.87 × 5,354.92
  4. Step 4: Simplify right side
    9,603.48x = 70,973,413.54
  5. Step 5: Solve for x
    x = 70,973,413.54/9,603.48
  6. Step 6: Final answer
    x = 7,390.38

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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.