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Finding the Fourth Proportional to 9,433.14, 14,152.78 and 4,502.14

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Solution

The fourth proportional to 9,433.14, 14,152.78 and 4,502.14 is: 6,754.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,433.14 : 14,152.78 = 4,502.14 : x
  2. Step 2: Convert to fraction form
    9,433.14/14,152.78 = 4,502.14/x
  3. Step 3: Cross multiply
    9,433.14x = 14,152.78 × 4,502.14
  4. Step 4: Simplify right side
    9,433.14x = 63,717,796.95
  5. Step 5: Solve for x
    x = 63,717,796.95/9,433.14
  6. Step 6: Final answer
    x = 6,754.68

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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.