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Finding the Fourth Proportional to 9,122.57, 12,582.50 and 6,973.97

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Solution

The fourth proportional to 9,122.57, 12,582.50 and 6,973.97 is: 9,619.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,122.57 : 12,582.50 = 6,973.97 : x
  2. Step 2: Convert to fraction form
    9,122.57/12,582.50 = 6,973.97/x
  3. Step 3: Cross multiply
    9,122.57x = 12,582.50 × 6,973.97
  4. Step 4: Simplify right side
    9,122.57x = 87,749,942.66
  5. Step 5: Solve for x
    x = 87,749,942.66/9,122.57
  6. Step 6: Final answer
    x = 9,619.00

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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.