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Finding the Fourth Proportional to 9,035.28, 12,477.24 and 5,898.96

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Solution

The fourth proportional to 9,035.28, 12,477.24 and 5,898.96 is: 8,146.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,035.28 : 12,477.24 = 5,898.96 : x
  2. Step 2: Convert to fraction form
    9,035.28/12,477.24 = 5,898.96/x
  3. Step 3: Cross multiply
    9,035.28x = 12,477.24 × 5,898.96
  4. Step 4: Simplify right side
    9,035.28x = 73,602,739.67
  5. Step 5: Solve for x
    x = 73,602,739.67/9,035.28
  6. Step 6: Final answer
    x = 8,146.15

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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.