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Finding the Fourth Proportional to 9,838.35, 13,577.29 and 5,859.90

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Solution

The fourth proportional to 9,838.35, 13,577.29 and 5,859.90 is: 8,086.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,838.35 : 13,577.29 = 5,859.90 : x
  2. Step 2: Convert to fraction form
    9,838.35/13,577.29 = 5,859.90/x
  3. Step 3: Cross multiply
    9,838.35x = 13,577.29 × 5,859.90
  4. Step 4: Simplify right side
    9,838.35x = 79,561,547.02
  5. Step 5: Solve for x
    x = 79,561,547.02/9,838.35
  6. Step 6: Final answer
    x = 8,086.88

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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.