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Finding the Fourth Proportional to 6,328.23, 9,466.43 and 5,291.43

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Solution

The fourth proportional to 6,328.23, 9,466.43 and 5,291.43 is: 7,915.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,328.23 : 9,466.43 = 5,291.43 : x
  2. Step 2: Convert to fraction form
    6,328.23/9,466.43 = 5,291.43/x
  3. Step 3: Cross multiply
    6,328.23x = 9,466.43 × 5,291.43
  4. Step 4: Simplify right side
    6,328.23x = 50,090,925.24
  5. Step 5: Solve for x
    x = 50,090,925.24/6,328.23
  6. Step 6: Final answer
    x = 7,915.47

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.