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Finding the Fourth Proportional to 9,482.64, 14,217.44 and 5,095.68

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Solution

The fourth proportional to 9,482.64, 14,217.44 and 5,095.68 is: 7,640.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,482.64 : 14,217.44 = 5,095.68 : x
  2. Step 2: Convert to fraction form
    9,482.64/14,217.44 = 5,095.68/x
  3. Step 3: Cross multiply
    9,482.64x = 14,217.44 × 5,095.68
  4. Step 4: Simplify right side
    9,482.64x = 72,447,524.66
  5. Step 5: Solve for x
    x = 72,447,524.66/9,482.64
  6. Step 6: Final answer
    x = 7,640.02

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.