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Finding the Fourth Proportional to 9,655.82, 14,480.65 and 3,080.48

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Solution

The fourth proportional to 9,655.82, 14,480.65 and 3,080.48 is: 4,619.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,655.82 : 14,480.65 = 3,080.48 : x
  2. Step 2: Convert to fraction form
    9,655.82/14,480.65 = 3,080.48/x
  3. Step 3: Cross multiply
    9,655.82x = 14,480.65 × 3,080.48
  4. Step 4: Simplify right side
    9,655.82x = 44,607,337.31
  5. Step 5: Solve for x
    x = 44,607,337.31/9,655.82
  6. Step 6: Final answer
    x = 4,619.74

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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.