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Finding the Fourth Proportional to 9,353.73, 14,029.14 and 3,113.82

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Solution

The fourth proportional to 9,353.73, 14,029.14 and 3,113.82 is: 4,670.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,353.73 : 14,029.14 = 3,113.82 : x
  2. Step 2: Convert to fraction form
    9,353.73/14,029.14 = 3,113.82/x
  3. Step 3: Cross multiply
    9,353.73x = 14,029.14 × 3,113.82
  4. Step 4: Simplify right side
    9,353.73x = 43,684,216.71
  5. Step 5: Solve for x
    x = 43,684,216.71/9,353.73
  6. Step 6: Final answer
    x = 4,670.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.