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Finding the Fourth Proportional to 9,613.17, 13,260.78 and 5,633.46

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Solution

The fourth proportional to 9,613.17, 13,260.78 and 5,633.46 is: 7,771.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,613.17 : 13,260.78 = 5,633.46 : x
  2. Step 2: Convert to fraction form
    9,613.17/13,260.78 = 5,633.46/x
  3. Step 3: Cross multiply
    9,613.17x = 13,260.78 × 5,633.46
  4. Step 4: Simplify right side
    9,613.17x = 74,704,073.70
  5. Step 5: Solve for x
    x = 74,704,073.70/9,613.17
  6. Step 6: Final answer
    x = 7,771.01

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.