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Finding the Fourth Proportional to 9,589.39, 14,384.12 and 2,925.92

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Solution

The fourth proportional to 9,589.39, 14,384.12 and 2,925.92 is: 4,388.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,589.39 : 14,384.12 = 2,925.92 : x
  2. Step 2: Convert to fraction form
    9,589.39/14,384.12 = 2,925.92/x
  3. Step 3: Cross multiply
    9,589.39x = 14,384.12 × 2,925.92
  4. Step 4: Simplify right side
    9,589.39x = 42,086,805.72
  5. Step 5: Solve for x
    x = 42,086,805.72/9,589.39
  6. Step 6: Final answer
    x = 4,388.89

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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.