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Finding the Fourth Proportional to 9,530.84, 14,293.66 and 3,983.02

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Solution

The fourth proportional to 9,530.84, 14,293.66 and 3,983.02 is: 5,973.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,530.84 : 14,293.66 = 3,983.02 : x
  2. Step 2: Convert to fraction form
    9,530.84/14,293.66 = 3,983.02/x
  3. Step 3: Cross multiply
    9,530.84x = 14,293.66 × 3,983.02
  4. Step 4: Simplify right side
    9,530.84x = 56,931,933.65
  5. Step 5: Solve for x
    x = 56,931,933.65/9,530.84
  6. Step 6: Final answer
    x = 5,973.44

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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.