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Finding the Fourth Proportional to 9,816.59, 13,546.91 and 5,340.40

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Solution

The fourth proportional to 9,816.59, 13,546.91 and 5,340.40 is: 7,369.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,816.59 : 13,546.91 = 5,340.40 : x
  2. Step 2: Convert to fraction form
    9,816.59/13,546.91 = 5,340.40/x
  3. Step 3: Cross multiply
    9,816.59x = 13,546.91 × 5,340.40
  4. Step 4: Simplify right side
    9,816.59x = 72,345,897.65
  5. Step 5: Solve for x
    x = 72,345,897.65/9,816.59
  6. Step 6: Final answer
    x = 7,369.76

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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.