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Finding the Fourth Proportional to 9,826.56, 13,560.84 and 5,848.20

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Solution

The fourth proportional to 9,826.56, 13,560.84 and 5,848.20 is: 8,070.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,826.56 : 13,560.84 = 5,848.20 : x
  2. Step 2: Convert to fraction form
    9,826.56/13,560.84 = 5,848.20/x
  3. Step 3: Cross multiply
    9,826.56x = 13,560.84 × 5,848.20
  4. Step 4: Simplify right side
    9,826.56x = 79,306,504.49
  5. Step 5: Solve for x
    x = 79,306,504.49/9,826.56
  6. Step 6: Final answer
    x = 8,070.63

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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.