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Finding the Fourth Proportional to 9,041.42, 13,564.07 and 2,801.30

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Solution

The fourth proportional to 9,041.42, 13,564.07 and 2,801.30 is: 4,202.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,041.42 : 13,564.07 = 2,801.30 : x
  2. Step 2: Convert to fraction form
    9,041.42/13,564.07 = 2,801.30/x
  3. Step 3: Cross multiply
    9,041.42x = 13,564.07 × 2,801.30
  4. Step 4: Simplify right side
    9,041.42x = 37,996,980.98
  5. Step 5: Solve for x
    x = 37,996,980.98/9,041.42
  6. Step 6: Final answer
    x = 4,202.54

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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.