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Finding the Fourth Proportional to 9,041.95, 13,564.75 and 3,202.66

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Solution

The fourth proportional to 9,041.95, 13,564.75 and 3,202.66 is: 4,804.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,041.95 : 13,564.75 = 3,202.66 : x
  2. Step 2: Convert to fraction form
    9,041.95/13,564.75 = 3,202.66/x
  3. Step 3: Cross multiply
    9,041.95x = 13,564.75 × 3,202.66
  4. Step 4: Simplify right side
    9,041.95x = 43,443,220.89
  5. Step 5: Solve for x
    x = 43,443,220.89/9,041.95
  6. Step 6: Final answer
    x = 4,804.63

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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.