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Finding the Fourth Proportional to 7,097.09, 9,723.05 and 6,831.06

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Solution

The fourth proportional to 7,097.09, 9,723.05 and 6,831.06 is: 9,358.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,097.09 : 9,723.05 = 6,831.06 : x
  2. Step 2: Convert to fraction form
    7,097.09/9,723.05 = 6,831.06/x
  3. Step 3: Cross multiply
    7,097.09x = 9,723.05 × 6,831.06
  4. Step 4: Simplify right side
    7,097.09x = 66,418,703.78
  5. Step 5: Solve for x
    x = 66,418,703.78/7,097.09
  6. Step 6: Final answer
    x = 9,358.59

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.