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Finding the Fourth Proportional to 9,482.25, 13,085.31 and 5,233.14

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Solution

The fourth proportional to 9,482.25, 13,085.31 and 5,233.14 is: 7,221.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,482.25 : 13,085.31 = 5,233.14 : x
  2. Step 2: Convert to fraction form
    9,482.25/13,085.31 = 5,233.14/x
  3. Step 3: Cross multiply
    9,482.25x = 13,085.31 × 5,233.14
  4. Step 4: Simplify right side
    9,482.25x = 68,477,259.17
  5. Step 5: Solve for x
    x = 68,477,259.17/9,482.25
  6. Step 6: Final answer
    x = 7,221.63

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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.