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Finding the Fourth Proportional to 9,941, 13,718.58 and 5,749.52

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Solution

The fourth proportional to 9,941, 13,718.58 and 5,749.52 is: 7,934.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,941 : 13,718.58 = 5,749.52 : x
  2. Step 2: Convert to fraction form
    9,941/13,718.58 = 5,749.52/x
  3. Step 3: Cross multiply
    9,941x = 13,718.58 × 5,749.52
  4. Step 4: Simplify right side
    9,941x = 78,875,250.08
  5. Step 5: Solve for x
    x = 78,875,250.08/9,941
  6. Step 6: Final answer
    x = 7,934.34

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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.