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Finding the Fourth Proportional to 9,407.16, 14,111.43 and 3,167.14

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Solution

The fourth proportional to 9,407.16, 14,111.43 and 3,167.14 is: 4,750.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,407.16 : 14,111.43 = 3,167.14 : x
  2. Step 2: Convert to fraction form
    9,407.16/14,111.43 = 3,167.14/x
  3. Step 3: Cross multiply
    9,407.16x = 14,111.43 × 3,167.14
  4. Step 4: Simplify right side
    9,407.16x = 44,692,874.41
  5. Step 5: Solve for x
    x = 44,692,874.41/9,407.16
  6. Step 6: Final answer
    x = 4,750.94

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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.