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Finding the Fourth Proportional to 6,684.79, 9,223.62 and 4,532.09

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Solution

The fourth proportional to 6,684.79, 9,223.62 and 4,532.09 is: 6,253.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,684.79 : 9,223.62 = 4,532.09 : x
  2. Step 2: Convert to fraction form
    6,684.79/9,223.62 = 4,532.09/x
  3. Step 3: Cross multiply
    6,684.79x = 9,223.62 × 4,532.09
  4. Step 4: Simplify right side
    6,684.79x = 41,802,316.17
  5. Step 5: Solve for x
    x = 41,802,316.17/6,684.79
  6. Step 6: Final answer
    x = 6,253.35

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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.