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Finding the Fourth Proportional to 9,739.08, 14,602.14 and 4,542.12

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Solution

The fourth proportional to 9,739.08, 14,602.14 and 4,542.12 is: 6,810.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,739.08 : 14,602.14 = 4,542.12 : x
  2. Step 2: Convert to fraction form
    9,739.08/14,602.14 = 4,542.12/x
  3. Step 3: Cross multiply
    9,739.08x = 14,602.14 × 4,542.12
  4. Step 4: Simplify right side
    9,739.08x = 66,324,672.14
  5. Step 5: Solve for x
    x = 66,324,672.14/9,739.08
  6. Step 6: Final answer
    x = 6,810.16

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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.