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Finding the Fourth Proportional to 9,564.95, 14,251.28 and 9,027.80

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Solution

The fourth proportional to 9,564.95, 14,251.28 and 9,027.80 is: 13,450.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,564.95 : 14,251.28 = 9,027.80 : x
  2. Step 2: Convert to fraction form
    9,564.95/14,251.28 = 9,027.80/x
  3. Step 3: Cross multiply
    9,564.95x = 14,251.28 × 9,027.80
  4. Step 4: Simplify right side
    9,564.95x = 128,657,589.19
  5. Step 5: Solve for x
    x = 128,657,589.19/9,564.95
  6. Step 6: Final answer
    x = 13,450.95

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.