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Finding the Fourth Proportional to 9,492.79, 14,231.08 and 6,710.71

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Solution

The fourth proportional to 9,492.79, 14,231.08 and 6,710.71 is: 10,060.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,492.79 : 14,231.08 = 6,710.71 : x
  2. Step 2: Convert to fraction form
    9,492.79/14,231.08 = 6,710.71/x
  3. Step 3: Cross multiply
    9,492.79x = 14,231.08 × 6,710.71
  4. Step 4: Simplify right side
    9,492.79x = 95,500,650.87
  5. Step 5: Solve for x
    x = 95,500,650.87/9,492.79
  6. Step 6: Final answer
    x = 10,060.34

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