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Finding the Fourth Proportional to 9,970.48, 13,758.94 and 5,722.24

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Solution

The fourth proportional to 9,970.48, 13,758.94 and 5,722.24 is: 7,896.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,970.48 : 13,758.94 = 5,722.24 : x
  2. Step 2: Convert to fraction form
    9,970.48/13,758.94 = 5,722.24/x
  3. Step 3: Cross multiply
    9,970.48x = 13,758.94 × 5,722.24
  4. Step 4: Simplify right side
    9,970.48x = 78,731,956.83
  5. Step 5: Solve for x
    x = 78,731,956.83/9,970.48
  6. Step 6: Final answer
    x = 7,896.51

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.