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Finding the Fourth Proportional to 9,178.53, 13,764.82 and 2,602.95

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Solution

The fourth proportional to 9,178.53, 13,764.82 and 2,602.95 is: 3,903.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,178.53 : 13,764.82 = 2,602.95 : x
  2. Step 2: Convert to fraction form
    9,178.53/13,764.82 = 2,602.95/x
  3. Step 3: Cross multiply
    9,178.53x = 13,764.82 × 2,602.95
  4. Step 4: Simplify right side
    9,178.53x = 35,829,138.22
  5. Step 5: Solve for x
    x = 35,829,138.22/9,178.53
  6. Step 6: Final answer
    x = 3,903.58

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