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Finding the Fourth Proportional to 9,613.76, 13,266.24 and 5,634.32

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Solution

The fourth proportional to 9,613.76, 13,266.24 and 5,634.32 is: 7,774.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,613.76 : 13,266.24 = 5,634.32 : x
  2. Step 2: Convert to fraction form
    9,613.76/13,266.24 = 5,634.32/x
  3. Step 3: Cross multiply
    9,613.76x = 13,266.24 × 5,634.32
  4. Step 4: Simplify right side
    9,613.76x = 74,746,241.36
  5. Step 5: Solve for x
    x = 74,746,241.36/9,613.76
  6. Step 6: Final answer
    x = 7,774.92

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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.