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Finding the Fourth Proportional to 9,810.91, 13,538.39 and 5,561.54

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Solution

The fourth proportional to 9,810.91, 13,538.39 and 5,561.54 is: 7,674.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,810.91 : 13,538.39 = 5,561.54 : x
  2. Step 2: Convert to fraction form
    9,810.91/13,538.39 = 5,561.54/x
  3. Step 3: Cross multiply
    9,810.91x = 13,538.39 × 5,561.54
  4. Step 4: Simplify right side
    9,810.91x = 75,294,303.56
  5. Step 5: Solve for x
    x = 75,294,303.56/9,810.91
  6. Step 6: Final answer
    x = 7,674.55

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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.