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Finding the Fourth Proportional to 9,843.32, 13,582.18 and 5,862.98

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Solution

The fourth proportional to 9,843.32, 13,582.18 and 5,862.98 is: 8,089.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,843.32 : 13,582.18 = 5,862.98 : x
  2. Step 2: Convert to fraction form
    9,843.32/13,582.18 = 5,862.98/x
  3. Step 3: Cross multiply
    9,843.32x = 13,582.18 × 5,862.98
  4. Step 4: Simplify right side
    9,843.32x = 79,632,090.98
  5. Step 5: Solve for x
    x = 79,632,090.98/9,843.32
  6. Step 6: Final answer
    x = 8,089.96

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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.