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Finding the Fourth Proportional to 9,577.28, 14,398.74 and 8,855.57

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Solution

The fourth proportional to 9,577.28, 14,398.74 and 8,855.57 is: 13,313.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,577.28 : 14,398.74 = 8,855.57 : x
  2. Step 2: Convert to fraction form
    9,577.28/14,398.74 = 8,855.57/x
  3. Step 3: Cross multiply
    9,577.28x = 14,398.74 × 8,855.57
  4. Step 4: Simplify right side
    9,577.28x = 127,509,085.98
  5. Step 5: Solve for x
    x = 127,509,085.98/9,577.28
  6. Step 6: Final answer
    x = 13,313.70

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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.