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Finding the Fourth Proportional to 9,524.77, 14,300.27 and 4,847.95

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Solution

The fourth proportional to 9,524.77, 14,300.27 and 4,847.95 is: 7,278.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,524.77 : 14,300.27 = 4,847.95 : x
  2. Step 2: Convert to fraction form
    9,524.77/14,300.27 = 4,847.95/x
  3. Step 3: Cross multiply
    9,524.77x = 14,300.27 × 4,847.95
  4. Step 4: Simplify right side
    9,524.77x = 69,326,993.95
  5. Step 5: Solve for x
    x = 69,326,993.95/9,524.77
  6. Step 6: Final answer
    x = 7,278.60

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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.