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Finding the Fourth Proportional to 9,637.28, 13,298.72 and 5,859.93

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Solution

The fourth proportional to 9,637.28, 13,298.72 and 5,859.93 is: 8,086.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,637.28 : 13,298.72 = 5,859.93 : x
  2. Step 2: Convert to fraction form
    9,637.28/13,298.72 = 5,859.93/x
  3. Step 3: Cross multiply
    9,637.28x = 13,298.72 × 5,859.93
  4. Step 4: Simplify right side
    9,637.28x = 77,929,514.05
  5. Step 5: Solve for x
    x = 77,929,514.05/9,637.28
  6. Step 6: Final answer
    x = 8,086.26

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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.