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Finding the Fourth Proportional to 9,466.16, 14,200.52 and 2,892.80

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Solution

The fourth proportional to 9,466.16, 14,200.52 and 2,892.80 is: 4,339.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,466.16 : 14,200.52 = 2,892.80 : x
  2. Step 2: Convert to fraction form
    9,466.16/14,200.52 = 2,892.80/x
  3. Step 3: Cross multiply
    9,466.16x = 14,200.52 × 2,892.80
  4. Step 4: Simplify right side
    9,466.16x = 41,079,264.26
  5. Step 5: Solve for x
    x = 41,079,264.26/9,466.16
  6. Step 6: Final answer
    x = 4,339.59

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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.