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Finding the Fourth Proportional to 9,603.52, 14,403.84 and 2,677.12

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Solution

The fourth proportional to 9,603.52, 14,403.84 and 2,677.12 is: 4,015.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,603.52 : 14,403.84 = 2,677.12 : x
  2. Step 2: Convert to fraction form
    9,603.52/14,403.84 = 2,677.12/x
  3. Step 3: Cross multiply
    9,603.52x = 14,403.84 × 2,677.12
  4. Step 4: Simplify right side
    9,603.52x = 38,560,808.14
  5. Step 5: Solve for x
    x = 38,560,808.14/9,603.52
  6. Step 6: Final answer
    x = 4,015.28

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.