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Finding the Fourth Proportional to 9,530.74, 13,153.22 and 5,282.83

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Solution

The fourth proportional to 9,530.74, 13,153.22 and 5,282.83 is: 7,290.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,530.74 : 13,153.22 = 5,282.83 : x
  2. Step 2: Convert to fraction form
    9,530.74/13,153.22 = 5,282.83/x
  3. Step 3: Cross multiply
    9,530.74x = 13,153.22 × 5,282.83
  4. Step 4: Simplify right side
    9,530.74x = 69,486,225.21
  5. Step 5: Solve for x
    x = 69,486,225.21/9,530.74
  6. Step 6: Final answer
    x = 7,290.75

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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.