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Finding the Fourth Proportional to 9,263.96, 13,898.28 and 2,690

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Solution

The fourth proportional to 9,263.96, 13,898.28 and 2,690 is: 4,035.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,263.96 : 13,898.28 = 2,690 : x
  2. Step 2: Convert to fraction form
    9,263.96/13,898.28 = 2,690/x
  3. Step 3: Cross multiply
    9,263.96x = 13,898.28 × 2,690
  4. Step 4: Simplify right side
    9,263.96x = 37,386,373.20
  5. Step 5: Solve for x
    x = 37,386,373.20/9,263.96
  6. Step 6: Final answer
    x = 4,035.68

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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.