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Finding the Fourth Proportional to 9,202.21, 13,785.69 and 7,545.35

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Solution

The fourth proportional to 9,202.21, 13,785.69 and 7,545.35 is: 11,303.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,202.21 : 13,785.69 = 7,545.35 : x
  2. Step 2: Convert to fraction form
    9,202.21/13,785.69 = 7,545.35/x
  3. Step 3: Cross multiply
    9,202.21x = 13,785.69 × 7,545.35
  4. Step 4: Simplify right side
    9,202.21x = 104,017,918.80
  5. Step 5: Solve for x
    x = 104,017,918.80/9,202.21
  6. Step 6: Final answer
    x = 11,303.58

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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.