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Finding the Fourth Proportional to 9,613.10, 13,263.81 and 5,420.54

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Solution

The fourth proportional to 9,613.10, 13,263.81 and 5,420.54 is: 7,479.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,613.10 : 13,263.81 = 5,420.54 : x
  2. Step 2: Convert to fraction form
    9,613.10/13,263.81 = 5,420.54/x
  3. Step 3: Cross multiply
    9,613.10x = 13,263.81 × 5,420.54
  4. Step 4: Simplify right side
    9,613.10x = 71,897,012.66
  5. Step 5: Solve for x
    x = 71,897,012.66/9,613.10
  6. Step 6: Final answer
    x = 7,479.07

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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.