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Finding the Fourth Proportional to 9,137.70, 12,602.27 and 7,012.55

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Solution

The fourth proportional to 9,137.70, 12,602.27 and 7,012.55 is: 9,671.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,137.70 : 12,602.27 = 7,012.55 : x
  2. Step 2: Convert to fraction form
    9,137.70/12,602.27 = 7,012.55/x
  3. Step 3: Cross multiply
    9,137.70x = 12,602.27 × 7,012.55
  4. Step 4: Simplify right side
    9,137.70x = 88,373,950.41
  5. Step 5: Solve for x
    x = 88,373,950.41/9,137.70
  6. Step 6: Final answer
    x = 9,671.36

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.