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Finding the Fourth Proportional to 9,442.86, 14,110.01 and 6,497.70

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Solution

The fourth proportional to 9,442.86, 14,110.01 and 6,497.70 is: 9,709.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,442.86 : 14,110.01 = 6,497.70 : x
  2. Step 2: Convert to fraction form
    9,442.86/14,110.01 = 6,497.70/x
  3. Step 3: Cross multiply
    9,442.86x = 14,110.01 × 6,497.70
  4. Step 4: Simplify right side
    9,442.86x = 91,682,579.49
  5. Step 5: Solve for x
    x = 91,682,579.49/9,442.86
  6. Step 6: Final answer
    x = 9,709.20

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.