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Finding the Fourth Proportional to 9,752.24, 14,623.73 and 4,816.11

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Solution

The fourth proportional to 9,752.24, 14,623.73 and 4,816.11 is: 7,221.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,752.24 : 14,623.73 = 4,816.11 : x
  2. Step 2: Convert to fraction form
    9,752.24/14,623.73 = 4,816.11/x
  3. Step 3: Cross multiply
    9,752.24x = 14,623.73 × 4,816.11
  4. Step 4: Simplify right side
    9,752.24x = 70,429,492.29
  5. Step 5: Solve for x
    x = 70,429,492.29/9,752.24
  6. Step 6: Final answer
    x = 7,221.88

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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.