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Finding the Fourth Proportional to 9,056.37, 12,497.72 and 5,077.52

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Solution

The fourth proportional to 9,056.37, 12,497.72 and 5,077.52 is: 7,006.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,056.37 : 12,497.72 = 5,077.52 : x
  2. Step 2: Convert to fraction form
    9,056.37/12,497.72 = 5,077.52/x
  3. Step 3: Cross multiply
    9,056.37x = 12,497.72 × 5,077.52
  4. Step 4: Simplify right side
    9,056.37x = 63,457,335.38
  5. Step 5: Solve for x
    x = 63,457,335.38/9,056.37
  6. Step 6: Final answer
    x = 7,006.93

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.