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Finding the Fourth Proportional to 9,295.66, 12,830.86 and 5,519.44

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Solution

The fourth proportional to 9,295.66, 12,830.86 and 5,519.44 is: 7,618.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,295.66 : 12,830.86 = 5,519.44 : x
  2. Step 2: Convert to fraction form
    9,295.66/12,830.86 = 5,519.44/x
  3. Step 3: Cross multiply
    9,295.66x = 12,830.86 × 5,519.44
  4. Step 4: Simplify right side
    9,295.66x = 70,819,153.81
  5. Step 5: Solve for x
    x = 70,819,153.81/9,295.66
  6. Step 6: Final answer
    x = 7,618.52

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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.