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Finding the Fourth Proportional to 9,176.64, 13,764.72 and 2,602.76

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Solution

The fourth proportional to 9,176.64, 13,764.72 and 2,602.76 is: 3,904.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,176.64 : 13,764.72 = 2,602.76 : x
  2. Step 2: Convert to fraction form
    9,176.64/13,764.72 = 2,602.76/x
  3. Step 3: Cross multiply
    9,176.64x = 13,764.72 × 2,602.76
  4. Step 4: Simplify right side
    9,176.64x = 35,826,262.63
  5. Step 5: Solve for x
    x = 35,826,262.63/9,176.64
  6. Step 6: Final answer
    x = 3,904.07

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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.