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Finding the Fourth Proportional to 9,056, 12,497.10 and 5,077.46

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Solution

The fourth proportional to 9,056, 12,497.10 and 5,077.46 is: 7,006.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,056 : 12,497.10 = 5,077.46 : x
  2. Step 2: Convert to fraction form
    9,056/12,497.10 = 5,077.46/x
  3. Step 3: Cross multiply
    9,056x = 12,497.10 × 5,077.46
  4. Step 4: Simplify right side
    9,056x = 63,453,525.37
  5. Step 5: Solve for x
    x = 63,453,525.37/9,056
  6. Step 6: Final answer
    x = 7,006.79

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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.