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Finding the Fourth Proportional to 9,603.88, 13,253.88 and 5,412.40

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Solution

The fourth proportional to 9,603.88, 13,253.88 and 5,412.40 is: 7,469.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,603.88 : 13,253.88 = 5,412.40 : x
  2. Step 2: Convert to fraction form
    9,603.88/13,253.88 = 5,412.40/x
  3. Step 3: Cross multiply
    9,603.88x = 13,253.88 × 5,412.40
  4. Step 4: Simplify right side
    9,603.88x = 71,735,300.11
  5. Step 5: Solve for x
    x = 71,735,300.11/9,603.88
  6. Step 6: Final answer
    x = 7,469.41

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.