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Finding the Fourth Proportional to 9,655.14, 14,482.97 and 3,081.32

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Solution

The fourth proportional to 9,655.14, 14,482.97 and 3,081.32 is: 4,622.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,655.14 : 14,482.97 = 3,081.32 : x
  2. Step 2: Convert to fraction form
    9,655.14/14,482.97 = 3,081.32/x
  3. Step 3: Cross multiply
    9,655.14x = 14,482.97 × 3,081.32
  4. Step 4: Simplify right side
    9,655.14x = 44,626,649.71
  5. Step 5: Solve for x
    x = 44,626,649.71/9,655.14
  6. Step 6: Final answer
    x = 4,622.06

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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.