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Finding the Fourth Proportional to 7,125.90, 9,817.63 and 4,970.37

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Solution

The fourth proportional to 7,125.90, 9,817.63 and 4,970.37 is: 6,847.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,125.90 : 9,817.63 = 4,970.37 : x
  2. Step 2: Convert to fraction form
    7,125.90/9,817.63 = 4,970.37/x
  3. Step 3: Cross multiply
    7,125.90x = 9,817.63 × 4,970.37
  4. Step 4: Simplify right side
    7,125.90x = 48,797,253.62
  5. Step 5: Solve for x
    x = 48,797,253.62/7,125.90
  6. Step 6: Final answer
    x = 6,847.87

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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.