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Finding the Fourth Proportional to 9,589.46, 14,384.97 and 3,017.52

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Solution

The fourth proportional to 9,589.46, 14,384.97 and 3,017.52 is: 4,526.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,589.46 : 14,384.97 = 3,017.52 : x
  2. Step 2: Convert to fraction form
    9,589.46/14,384.97 = 3,017.52/x
  3. Step 3: Cross multiply
    9,589.46x = 14,384.97 × 3,017.52
  4. Step 4: Simplify right side
    9,589.46x = 43,406,934.67
  5. Step 5: Solve for x
    x = 43,406,934.67/9,589.46
  6. Step 6: Final answer
    x = 4,526.53

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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.