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Finding the Fourth Proportional to 9,277.40, 13,919.63 and 5,582.18

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Solution

The fourth proportional to 9,277.40, 13,919.63 and 5,582.18 is: 8,375.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,277.40 : 13,919.63 = 5,582.18 : x
  2. Step 2: Convert to fraction form
    9,277.40/13,919.63 = 5,582.18/x
  3. Step 3: Cross multiply
    9,277.40x = 13,919.63 × 5,582.18
  4. Step 4: Simplify right side
    9,277.40x = 77,701,852.28
  5. Step 5: Solve for x
    x = 77,701,852.28/9,277.40
  6. Step 6: Final answer
    x = 8,375.39

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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.