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Finding the Fourth Proportional to 9,967.50, 14,946.32 and 5,808.56

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Solution

The fourth proportional to 9,967.50, 14,946.32 and 5,808.56 is: 8,709.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,967.50 : 14,946.32 = 5,808.56 : x
  2. Step 2: Convert to fraction form
    9,967.50/14,946.32 = 5,808.56/x
  3. Step 3: Cross multiply
    9,967.50x = 14,946.32 × 5,808.56
  4. Step 4: Simplify right side
    9,967.50x = 86,816,492.72
  5. Step 5: Solve for x
    x = 86,816,492.72/9,967.50
  6. Step 6: Final answer
    x = 8,709.96

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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.