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Finding the Fourth Proportional to 6,535.13, 9,018.50 and 3,740.63

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Solution

The fourth proportional to 6,535.13, 9,018.50 and 3,740.63 is: 5,162.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,535.13 : 9,018.50 = 3,740.63 : x
  2. Step 2: Convert to fraction form
    6,535.13/9,018.50 = 3,740.63/x
  3. Step 3: Cross multiply
    6,535.13x = 9,018.50 × 3,740.63
  4. Step 4: Simplify right side
    6,535.13x = 33,734,807.86
  5. Step 5: Solve for x
    x = 33,734,807.86/6,535.13
  6. Step 6: Final answer
    x = 5,162.08

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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.