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Finding the Fourth Proportional to 9,776.48, 13,491.52 and 5,300.24

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Solution

The fourth proportional to 9,776.48, 13,491.52 and 5,300.24 is: 7,314.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,776.48 : 13,491.52 = 5,300.24 : x
  2. Step 2: Convert to fraction form
    9,776.48/13,491.52 = 5,300.24/x
  3. Step 3: Cross multiply
    9,776.48x = 13,491.52 × 5,300.24
  4. Step 4: Simplify right side
    9,776.48x = 71,508,314.44
  5. Step 5: Solve for x
    x = 71,508,314.44/9,776.48
  6. Step 6: Final answer
    x = 7,314.32

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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.