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Finding the Fourth Proportional to 9,655.64, 14,483.71 and 3,081.82

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Solution

The fourth proportional to 9,655.64, 14,483.71 and 3,081.82 is: 4,622.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,655.64 : 14,483.71 = 3,081.82 : x
  2. Step 2: Convert to fraction form
    9,655.64/14,483.71 = 3,081.82/x
  3. Step 3: Cross multiply
    9,655.64x = 14,483.71 × 3,081.82
  4. Step 4: Simplify right side
    9,655.64x = 44,636,187.15
  5. Step 5: Solve for x
    x = 44,636,187.15/9,655.64
  6. Step 6: Final answer
    x = 4,622.81

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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.