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Finding the Fourth Proportional to 9,219.45, 12,733.47 and 6,712.77

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Solution

The fourth proportional to 9,219.45, 12,733.47 and 6,712.77 is: 9,271.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,219.45 : 12,733.47 = 6,712.77 : x
  2. Step 2: Convert to fraction form
    9,219.45/12,733.47 = 6,712.77/x
  3. Step 3: Cross multiply
    9,219.45x = 12,733.47 × 6,712.77
  4. Step 4: Simplify right side
    9,219.45x = 85,476,903.16
  5. Step 5: Solve for x
    x = 85,476,903.16/9,219.45
  6. Step 6: Final answer
    x = 9,271.36

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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.