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Finding the Fourth Proportional to 9,468.34, 14,204.52 and 2,895

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Solution

The fourth proportional to 9,468.34, 14,204.52 and 2,895 is: 4,343.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,468.34 : 14,204.52 = 2,895 : x
  2. Step 2: Convert to fraction form
    9,468.34/14,204.52 = 2,895/x
  3. Step 3: Cross multiply
    9,468.34x = 14,204.52 × 2,895
  4. Step 4: Simplify right side
    9,468.34x = 41,122,085.40
  5. Step 5: Solve for x
    x = 41,122,085.40/9,468.34
  6. Step 6: Final answer
    x = 4,343.11

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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.