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Finding the Fourth Proportional to 9,821.58, 13,549.28 and 5,840.42

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Solution

The fourth proportional to 9,821.58, 13,549.28 and 5,840.42 is: 8,057.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,821.58 : 13,549.28 = 5,840.42 : x
  2. Step 2: Convert to fraction form
    9,821.58/13,549.28 = 5,840.42/x
  3. Step 3: Cross multiply
    9,821.58x = 13,549.28 × 5,840.42
  4. Step 4: Simplify right side
    9,821.58x = 79,133,485.90
  5. Step 5: Solve for x
    x = 79,133,485.90/9,821.58
  6. Step 6: Final answer
    x = 8,057.10

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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.