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Finding the Fourth Proportional to 9,483.23, 13,084.25 and 5,705.87

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Solution

The fourth proportional to 9,483.23, 13,084.25 and 5,705.87 is: 7,872.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,483.23 : 13,084.25 = 5,705.87 : x
  2. Step 2: Convert to fraction form
    9,483.23/13,084.25 = 5,705.87/x
  3. Step 3: Cross multiply
    9,483.23x = 13,084.25 × 5,705.87
  4. Step 4: Simplify right side
    9,483.23x = 74,656,935.60
  5. Step 5: Solve for x
    x = 74,656,935.60/9,483.23
  6. Step 6: Final answer
    x = 7,872.52

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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.