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Finding the Fourth Proportional to 9,210.90, 13,822.40 and 5,053.82

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Solution

The fourth proportional to 9,210.90, 13,822.40 and 5,053.82 is: 7,584.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,210.90 : 13,822.40 = 5,053.82 : x
  2. Step 2: Convert to fraction form
    9,210.90/13,822.40 = 5,053.82/x
  3. Step 3: Cross multiply
    9,210.90x = 13,822.40 × 5,053.82
  4. Step 4: Simplify right side
    9,210.90x = 69,855,921.57
  5. Step 5: Solve for x
    x = 69,855,921.57/9,210.90
  6. Step 6: Final answer
    x = 7,584.05

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.