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Finding the Fourth Proportional to 6,347.88, 9,510.30 and 4,977

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Solution

The fourth proportional to 6,347.88, 9,510.30 and 4,977 is: 7,456.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,347.88 : 9,510.30 = 4,977 : x
  2. Step 2: Convert to fraction form
    6,347.88/9,510.30 = 4,977/x
  3. Step 3: Cross multiply
    6,347.88x = 9,510.30 × 4,977
  4. Step 4: Simplify right side
    6,347.88x = 47,332,763.10
  5. Step 5: Solve for x
    x = 47,332,763.10/6,347.88
  6. Step 6: Final answer
    x = 7,456.47

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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.