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Finding the Fourth Proportional to 9,492.66, 14,232.15 and 5,794.02

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Solution

The fourth proportional to 9,492.66, 14,232.15 and 5,794.02 is: 8,686.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,492.66 : 14,232.15 = 5,794.02 : x
  2. Step 2: Convert to fraction form
    9,492.66/14,232.15 = 5,794.02/x
  3. Step 3: Cross multiply
    9,492.66x = 14,232.15 × 5,794.02
  4. Step 4: Simplify right side
    9,492.66x = 82,461,361.74
  5. Step 5: Solve for x
    x = 82,461,361.74/9,492.66
  6. Step 6: Final answer
    x = 8,686.86

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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.