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Finding the Fourth Proportional to 9,002.50, 13,502.77 and 2,429.35

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Solution

The fourth proportional to 9,002.50, 13,502.77 and 2,429.35 is: 3,643.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,002.50 : 13,502.77 = 2,429.35 : x
  2. Step 2: Convert to fraction form
    9,002.50/13,502.77 = 2,429.35/x
  3. Step 3: Cross multiply
    9,002.50x = 13,502.77 × 2,429.35
  4. Step 4: Simplify right side
    9,002.50x = 32,802,954.30
  5. Step 5: Solve for x
    x = 32,802,954.30/9,002.50
  6. Step 6: Final answer
    x = 3,643.76

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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.