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Finding the Fourth Proportional to 9,610.95, 13,263.09 and 5,419.20

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Solution

The fourth proportional to 9,610.95, 13,263.09 and 5,419.20 is: 7,478.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,610.95 : 13,263.09 = 5,419.20 : x
  2. Step 2: Convert to fraction form
    9,610.95/13,263.09 = 5,419.20/x
  3. Step 3: Cross multiply
    9,610.95x = 13,263.09 × 5,419.20
  4. Step 4: Simplify right side
    9,610.95x = 71,875,337.33
  5. Step 5: Solve for x
    x = 71,875,337.33/9,610.95
  6. Step 6: Final answer
    x = 7,478.48

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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.