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Finding the Fourth Proportional to 9,727.68, 13,423.65 and 5,749.16

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Solution

The fourth proportional to 9,727.68, 13,423.65 and 5,749.16 is: 7,933.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,727.68 : 13,423.65 = 5,749.16 : x
  2. Step 2: Convert to fraction form
    9,727.68/13,423.65 = 5,749.16/x
  3. Step 3: Cross multiply
    9,727.68x = 13,423.65 × 5,749.16
  4. Step 4: Simplify right side
    9,727.68x = 77,174,714.63
  5. Step 5: Solve for x
    x = 77,174,714.63/9,727.68
  6. Step 6: Final answer
    x = 7,933.52

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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.