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Finding the Fourth Proportional to 9,826.98, 13,557.23 and 6,049.01

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Solution

The fourth proportional to 9,826.98, 13,557.23 and 6,049.01 is: 8,345.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,826.98 : 13,557.23 = 6,049.01 : x
  2. Step 2: Convert to fraction form
    9,826.98/13,557.23 = 6,049.01/x
  3. Step 3: Cross multiply
    9,826.98x = 13,557.23 × 6,049.01
  4. Step 4: Simplify right side
    9,826.98x = 82,007,721.81
  5. Step 5: Solve for x
    x = 82,007,721.81/9,826.98
  6. Step 6: Final answer
    x = 8,345.16

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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.