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Finding the Fourth Proportional to 9,465.30, 13,061.60 and 5,216.22

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Solution

The fourth proportional to 9,465.30, 13,061.60 and 5,216.22 is: 7,198.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,465.30 : 13,061.60 = 5,216.22 : x
  2. Step 2: Convert to fraction form
    9,465.30/13,061.60 = 5,216.22/x
  3. Step 3: Cross multiply
    9,465.30x = 13,061.60 × 5,216.22
  4. Step 4: Simplify right side
    9,465.30x = 68,132,179.15
  5. Step 5: Solve for x
    x = 68,132,179.15/9,465.30
  6. Step 6: Final answer
    x = 7,198.10

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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.