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Finding the Fourth Proportional to 9,515.82, 14,275.89 and 5,133.18

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Solution

The fourth proportional to 9,515.82, 14,275.89 and 5,133.18 is: 7,700.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,515.82 : 14,275.89 = 5,133.18 : x
  2. Step 2: Convert to fraction form
    9,515.82/14,275.89 = 5,133.18/x
  3. Step 3: Cross multiply
    9,515.82x = 14,275.89 × 5,133.18
  4. Step 4: Simplify right side
    9,515.82x = 73,280,713.03
  5. Step 5: Solve for x
    x = 73,280,713.03/9,515.82
  6. Step 6: Final answer
    x = 7,700.94

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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.