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Finding the Fourth Proportional to 9,930.50, 13,710.52 and 6,157.69

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Solution

The fourth proportional to 9,930.50, 13,710.52 and 6,157.69 is: 8,501.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,930.50 : 13,710.52 = 6,157.69 : x
  2. Step 2: Convert to fraction form
    9,930.50/13,710.52 = 6,157.69/x
  3. Step 3: Cross multiply
    9,930.50x = 13,710.52 × 6,157.69
  4. Step 4: Simplify right side
    9,930.50x = 84,425,131.90
  5. Step 5: Solve for x
    x = 84,425,131.90/9,930.50
  6. Step 6: Final answer
    x = 8,501.60

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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.