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Finding the Fourth Proportional to 9,131.92, 12,602.82 and 5,153.20

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Solution

The fourth proportional to 9,131.92, 12,602.82 and 5,153.20 is: 7,111.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,131.92 : 12,602.82 = 5,153.20 : x
  2. Step 2: Convert to fraction form
    9,131.92/12,602.82 = 5,153.20/x
  3. Step 3: Cross multiply
    9,131.92x = 12,602.82 × 5,153.20
  4. Step 4: Simplify right side
    9,131.92x = 64,944,852.02
  5. Step 5: Solve for x
    x = 64,944,852.02/9,131.92
  6. Step 6: Final answer
    x = 7,111.85

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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.