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Finding the Fourth Proportional to 9,482.62, 13,078.83 and 5,705.50

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Solution

The fourth proportional to 9,482.62, 13,078.83 and 5,705.50 is: 7,869.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,482.62 : 13,078.83 = 5,705.50 : x
  2. Step 2: Convert to fraction form
    9,482.62/13,078.83 = 5,705.50/x
  3. Step 3: Cross multiply
    9,482.62x = 13,078.83 × 5,705.50
  4. Step 4: Simplify right side
    9,482.62x = 74,621,264.57
  5. Step 5: Solve for x
    x = 74,621,264.57/9,482.62
  6. Step 6: Final answer
    x = 7,869.27

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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.