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Finding the Fourth Proportional to 9,101.76, 13,652.64 and 3,260.04

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Solution

The fourth proportional to 9,101.76, 13,652.64 and 3,260.04 is: 4,890.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,101.76 : 13,652.64 = 3,260.04 : x
  2. Step 2: Convert to fraction form
    9,101.76/13,652.64 = 3,260.04/x
  3. Step 3: Cross multiply
    9,101.76x = 13,652.64 × 3,260.04
  4. Step 4: Simplify right side
    9,101.76x = 44,508,152.51
  5. Step 5: Solve for x
    x = 44,508,152.51/9,101.76
  6. Step 6: Final answer
    x = 4,890.06

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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.