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Finding the Fourth Proportional to 9,298.16, 12,835.56 and 5,945.36

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Solution

The fourth proportional to 9,298.16, 12,835.56 and 5,945.36 is: 8,207.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,298.16 : 12,835.56 = 5,945.36 : x
  2. Step 2: Convert to fraction form
    9,298.16/12,835.56 = 5,945.36/x
  3. Step 3: Cross multiply
    9,298.16x = 12,835.56 × 5,945.36
  4. Step 4: Simplify right side
    9,298.16x = 76,312,025.00
  5. Step 5: Solve for x
    x = 76,312,025.00/9,298.16
  6. Step 6: Final answer
    x = 8,207.22

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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.