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Finding the Fourth Proportional to 9,745.04, 14,612.42 and 3,170.40

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Solution

The fourth proportional to 9,745.04, 14,612.42 and 3,170.40 is: 4,753.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,745.04 : 14,612.42 = 3,170.40 : x
  2. Step 2: Convert to fraction form
    9,745.04/14,612.42 = 3,170.40/x
  3. Step 3: Cross multiply
    9,745.04x = 14,612.42 × 3,170.40
  4. Step 4: Simplify right side
    9,745.04x = 46,327,216.37
  5. Step 5: Solve for x
    x = 46,327,216.37/9,745.04
  6. Step 6: Final answer
    x = 4,753.93

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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.