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Finding the Fourth Proportional to 9,837.69, 13,574.45 and 5,529.93

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Solution

The fourth proportional to 9,837.69, 13,574.45 and 5,529.93 is: 7,630.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,837.69 : 13,574.45 = 5,529.93 : x
  2. Step 2: Convert to fraction form
    9,837.69/13,574.45 = 5,529.93/x
  3. Step 3: Cross multiply
    9,837.69x = 13,574.45 × 5,529.93
  4. Step 4: Simplify right side
    9,837.69x = 75,065,721.21
  5. Step 5: Solve for x
    x = 75,065,721.21/9,837.69
  6. Step 6: Final answer
    x = 7,630.42

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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.