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Finding the Fourth Proportional to 9,647.61, 14,462.18 and 3,069.52

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Solution

The fourth proportional to 9,647.61, 14,462.18 and 3,069.52 is: 4,601.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,647.61 : 14,462.18 = 3,069.52 : x
  2. Step 2: Convert to fraction form
    9,647.61/14,462.18 = 3,069.52/x
  3. Step 3: Cross multiply
    9,647.61x = 14,462.18 × 3,069.52
  4. Step 4: Simplify right side
    9,647.61x = 44,391,910.76
  5. Step 5: Solve for x
    x = 44,391,910.76/9,647.61
  6. Step 6: Final answer
    x = 4,601.34

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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.