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Finding the Fourth Proportional to 9,589.95, 14,383.76 and 2,570.49

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Solution

The fourth proportional to 9,589.95, 14,383.76 and 2,570.49 is: 3,855.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,589.95 : 14,383.76 = 2,570.49 : x
  2. Step 2: Convert to fraction form
    9,589.95/14,383.76 = 2,570.49/x
  3. Step 3: Cross multiply
    9,589.95x = 14,383.76 × 2,570.49
  4. Step 4: Simplify right side
    9,589.95x = 36,973,298.39
  5. Step 5: Solve for x
    x = 36,973,298.39/9,589.95
  6. Step 6: Final answer
    x = 3,855.42

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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.