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Finding the Fourth Proportional to 6,535, 9,025.73 and 4,435.48

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Solution

The fourth proportional to 6,535, 9,025.73 and 4,435.48 is: 6,126.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,535 : 9,025.73 = 4,435.48 : x
  2. Step 2: Convert to fraction form
    6,535/9,025.73 = 4,435.48/x
  3. Step 3: Cross multiply
    6,535x = 9,025.73 × 4,435.48
  4. Step 4: Simplify right side
    6,535x = 40,033,444.90
  5. Step 5: Solve for x
    x = 40,033,444.90/6,535
  6. Step 6: Final answer
    x = 6,126.01

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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.