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Finding the Fourth Proportional to 9,323.28, 12,858.48 and 6,802.56

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Solution

The fourth proportional to 9,323.28, 12,858.48 and 6,802.56 is: 9,381.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,323.28 : 12,858.48 = 6,802.56 : x
  2. Step 2: Convert to fraction form
    9,323.28/12,858.48 = 6,802.56/x
  3. Step 3: Cross multiply
    9,323.28x = 12,858.48 × 6,802.56
  4. Step 4: Simplify right side
    9,323.28x = 87,470,581.71
  5. Step 5: Solve for x
    x = 87,470,581.71/9,323.28
  6. Step 6: Final answer
    x = 9,381.95

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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.