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Finding the Fourth Proportional to 9,794.88, 13,518.76 and 5,603.12

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Solution

The fourth proportional to 9,794.88, 13,518.76 and 5,603.12 is: 7,733.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,794.88 : 13,518.76 = 5,603.12 : x
  2. Step 2: Convert to fraction form
    9,794.88/13,518.76 = 5,603.12/x
  3. Step 3: Cross multiply
    9,794.88x = 13,518.76 × 5,603.12
  4. Step 4: Simplify right side
    9,794.88x = 75,747,234.53
  5. Step 5: Solve for x
    x = 75,747,234.53/9,794.88
  6. Step 6: Final answer
    x = 7,733.35

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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.