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Finding the Fourth Proportional to 6,009.61, 9,017.64 and 2,502.03

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Solution

The fourth proportional to 6,009.61, 9,017.64 and 2,502.03 is: 3,754.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,009.61 : 9,017.64 = 2,502.03 : x
  2. Step 2: Convert to fraction form
    6,009.61/9,017.64 = 2,502.03/x
  3. Step 3: Cross multiply
    6,009.61x = 9,017.64 × 2,502.03
  4. Step 4: Simplify right side
    6,009.61x = 22,562,430.24
  5. Step 5: Solve for x
    x = 22,562,430.24/6,009.61
  6. Step 6: Final answer
    x = 3,754.39

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.