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Finding the Fourth Proportional to 9,035.23, 12,468.63 and 5,056.33

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Solution

The fourth proportional to 9,035.23, 12,468.63 and 5,056.33 is: 6,977.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,035.23 : 12,468.63 = 5,056.33 : x
  2. Step 2: Convert to fraction form
    9,035.23/12,468.63 = 5,056.33/x
  3. Step 3: Cross multiply
    9,035.23x = 12,468.63 × 5,056.33
  4. Step 4: Simplify right side
    9,035.23x = 63,045,507.93
  5. Step 5: Solve for x
    x = 63,045,507.93/9,035.23
  6. Step 6: Final answer
    x = 6,977.74

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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.