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Finding the Fourth Proportional to 9,293.69, 12,815.37 and 7,024.07

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Solution

The fourth proportional to 9,293.69, 12,815.37 and 7,024.07 is: 9,685.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,293.69 : 12,815.37 = 7,024.07 : x
  2. Step 2: Convert to fraction form
    9,293.69/12,815.37 = 7,024.07/x
  3. Step 3: Cross multiply
    9,293.69x = 12,815.37 × 7,024.07
  4. Step 4: Simplify right side
    9,293.69x = 90,016,087.99
  5. Step 5: Solve for x
    x = 90,016,087.99/9,293.69
  6. Step 6: Final answer
    x = 9,685.72

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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.