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Finding the Fourth Proportional to 9,056.71, 12,497.57 and 5,077.06

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Solution

The fourth proportional to 9,056.71, 12,497.57 and 5,077.06 is: 7,005.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,056.71 : 12,497.57 = 5,077.06 : x
  2. Step 2: Convert to fraction form
    9,056.71/12,497.57 = 5,077.06/x
  3. Step 3: Cross multiply
    9,056.71x = 12,497.57 × 5,077.06
  4. Step 4: Simplify right side
    9,056.71x = 63,450,974.01
  5. Step 5: Solve for x
    x = 63,450,974.01/9,056.71
  6. Step 6: Final answer
    x = 7,005.96

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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.