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Finding the Fourth Proportional to 9,078.33, 12,530.70 and 5,493.30

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Solution

The fourth proportional to 9,078.33, 12,530.70 and 5,493.30 is: 7,582.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,078.33 : 12,530.70 = 5,493.30 : x
  2. Step 2: Convert to fraction form
    9,078.33/12,530.70 = 5,493.30/x
  3. Step 3: Cross multiply
    9,078.33x = 12,530.70 × 5,493.30
  4. Step 4: Simplify right side
    9,078.33x = 68,834,894.31
  5. Step 5: Solve for x
    x = 68,834,894.31/9,078.33
  6. Step 6: Final answer
    x = 7,582.33

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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.