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Finding the Fourth Proportional to 9,748.56, 14,618.52 and 6,828.24

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Solution

The fourth proportional to 9,748.56, 14,618.52 and 6,828.24 is: 10,239.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,748.56 : 14,618.52 = 6,828.24 : x
  2. Step 2: Convert to fraction form
    9,748.56/14,618.52 = 6,828.24/x
  3. Step 3: Cross multiply
    9,748.56x = 14,618.52 × 6,828.24
  4. Step 4: Simplify right side
    9,748.56x = 99,818,763.00
  5. Step 5: Solve for x
    x = 99,818,763.00/9,748.56
  6. Step 6: Final answer
    x = 10,239.33

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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.