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Finding the Fourth Proportional to 9,493.66, 14,233.65 and 5,795.02

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Solution

The fourth proportional to 9,493.66, 14,233.65 and 5,795.02 is: 8,688.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,493.66 : 14,233.65 = 5,795.02 : x
  2. Step 2: Convert to fraction form
    9,493.66/14,233.65 = 5,795.02/x
  3. Step 3: Cross multiply
    9,493.66x = 14,233.65 × 5,795.02
  4. Step 4: Simplify right side
    9,493.66x = 82,484,286.42
  5. Step 5: Solve for x
    x = 82,484,286.42/9,493.66
  6. Step 6: Final answer
    x = 8,688.35

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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.