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Finding the Fourth Proportional to 9,826.66, 13,549.62 and 7,464.70

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Solution

The fourth proportional to 9,826.66, 13,549.62 and 7,464.70 is: 10,292.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,826.66 : 13,549.62 = 7,464.70 : x
  2. Step 2: Convert to fraction form
    9,826.66/13,549.62 = 7,464.70/x
  3. Step 3: Cross multiply
    9,826.66x = 13,549.62 × 7,464.70
  4. Step 4: Simplify right side
    9,826.66x = 101,143,848.41
  5. Step 5: Solve for x
    x = 101,143,848.41/9,826.66
  6. Step 6: Final answer
    x = 10,292.80

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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.