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Finding the Fourth Proportional to 9,530.84, 14,287.44 and 5,143.16

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Solution

The fourth proportional to 9,530.84, 14,287.44 and 5,143.16 is: 7,709.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,530.84 : 14,287.44 = 5,143.16 : x
  2. Step 2: Convert to fraction form
    9,530.84/14,287.44 = 5,143.16/x
  3. Step 3: Cross multiply
    9,530.84x = 14,287.44 × 5,143.16
  4. Step 4: Simplify right side
    9,530.84x = 73,482,589.91
  5. Step 5: Solve for x
    x = 73,482,589.91/9,530.84
  6. Step 6: Final answer
    x = 7,709.98

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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.