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Finding the Fourth Proportional to 10,194.48, 14,062.12 and 6,745.04

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Solution

The fourth proportional to 10,194.48, 14,062.12 and 6,745.04 is: 9,304.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,194.48 : 14,062.12 = 6,745.04 : x
  2. Step 2: Convert to fraction form
    10,194.48/14,062.12 = 6,745.04/x
  3. Step 3: Cross multiply
    10,194.48x = 14,062.12 × 6,745.04
  4. Step 4: Simplify right side
    10,194.48x = 94,849,561.88
  5. Step 5: Solve for x
    x = 94,849,561.88/10,194.48
  6. Step 6: Final answer
    x = 9,304.01

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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.