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Finding the Fourth Proportional to 9,035.65, 13,542.54 and 4,100.32

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Solution

The fourth proportional to 9,035.65, 13,542.54 and 4,100.32 is: 6,145.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,035.65 : 13,542.54 = 4,100.32 : x
  2. Step 2: Convert to fraction form
    9,035.65/13,542.54 = 4,100.32/x
  3. Step 3: Cross multiply
    9,035.65x = 13,542.54 × 4,100.32
  4. Step 4: Simplify right side
    9,035.65x = 55,528,747.61
  5. Step 5: Solve for x
    x = 55,528,747.61/9,035.65
  6. Step 6: Final answer
    x = 6,145.52

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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.