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Finding the Fourth Proportional to 9,034.70, 12,468.46 and 5,056.07

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Solution

The fourth proportional to 9,034.70, 12,468.46 and 5,056.07 is: 6,977.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,034.70 : 12,468.46 = 5,056.07 : x
  2. Step 2: Convert to fraction form
    9,034.70/12,468.46 = 5,056.07/x
  3. Step 3: Cross multiply
    9,034.70x = 12,468.46 × 5,056.07
  4. Step 4: Simplify right side
    9,034.70x = 63,041,428.96
  5. Step 5: Solve for x
    x = 63,041,428.96/9,034.70
  6. Step 6: Final answer
    x = 6,977.70

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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.