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Finding the Fourth Proportional to 9,118.74, 12,583.44 and 5,582.28

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Solution

The fourth proportional to 9,118.74, 12,583.44 and 5,582.28 is: 7,703.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,118.74 : 12,583.44 = 5,582.28 : x
  2. Step 2: Convert to fraction form
    9,118.74/12,583.44 = 5,582.28/x
  3. Step 3: Cross multiply
    9,118.74x = 12,583.44 × 5,582.28
  4. Step 4: Simplify right side
    9,118.74x = 70,244,285.44
  5. Step 5: Solve for x
    x = 70,244,285.44/9,118.74
  6. Step 6: Final answer
    x = 7,703.29

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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.