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Finding the Fourth Proportional to 9,752.80, 13,457.76 and 5,977

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Solution

The fourth proportional to 9,752.80, 13,457.76 and 5,977 is: 8,247.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,752.80 : 13,457.76 = 5,977 : x
  2. Step 2: Convert to fraction form
    9,752.80/13,457.76 = 5,977/x
  3. Step 3: Cross multiply
    9,752.80x = 13,457.76 × 5,977
  4. Step 4: Simplify right side
    9,752.80x = 80,437,031.52
  5. Step 5: Solve for x
    x = 80,437,031.52/9,752.80
  6. Step 6: Final answer
    x = 8,247.58

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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.