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Finding the Fourth Proportional to 9,201.30, 12,697.77 and 5,009.55

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Solution

The fourth proportional to 9,201.30, 12,697.77 and 5,009.55 is: 6,913.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,201.30 : 12,697.77 = 5,009.55 : x
  2. Step 2: Convert to fraction form
    9,201.30/12,697.77 = 5,009.55/x
  3. Step 3: Cross multiply
    9,201.30x = 12,697.77 × 5,009.55
  4. Step 4: Simplify right side
    9,201.30x = 63,610,113.70
  5. Step 5: Solve for x
    x = 63,610,113.70/9,201.30
  6. Step 6: Final answer
    x = 6,913.17

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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.