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Finding the Fourth Proportional to 9,965.08, 14,945.34 and 2,945.20

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Solution

The fourth proportional to 9,965.08, 14,945.34 and 2,945.20 is: 4,417.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,965.08 : 14,945.34 = 2,945.20 : x
  2. Step 2: Convert to fraction form
    9,965.08/14,945.34 = 2,945.20/x
  3. Step 3: Cross multiply
    9,965.08x = 14,945.34 × 2,945.20
  4. Step 4: Simplify right side
    9,965.08x = 44,017,015.37
  5. Step 5: Solve for x
    x = 44,017,015.37/9,965.08
  6. Step 6: Final answer
    x = 4,417.13

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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.