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Finding the Fourth Proportional to 9,167.30, 12,651.78 and 5,582.50

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Solution

The fourth proportional to 9,167.30, 12,651.78 and 5,582.50 is: 7,704.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,167.30 : 12,651.78 = 5,582.50 : x
  2. Step 2: Convert to fraction form
    9,167.30/12,651.78 = 5,582.50/x
  3. Step 3: Cross multiply
    9,167.30x = 12,651.78 × 5,582.50
  4. Step 4: Simplify right side
    9,167.30x = 70,628,561.85
  5. Step 5: Solve for x
    x = 70,628,561.85/9,167.30
  6. Step 6: Final answer
    x = 7,704.40

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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.