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Finding the Fourth Proportional to 9,200.60, 12,699.51 and 6,014.36

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Solution

The fourth proportional to 9,200.60, 12,699.51 and 6,014.36 is: 8,301.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,200.60 : 12,699.51 = 6,014.36 : x
  2. Step 2: Convert to fraction form
    9,200.60/12,699.51 = 6,014.36/x
  3. Step 3: Cross multiply
    9,200.60x = 12,699.51 × 6,014.36
  4. Step 4: Simplify right side
    9,200.60x = 76,379,424.96
  5. Step 5: Solve for x
    x = 76,379,424.96/9,200.60
  6. Step 6: Final answer
    x = 8,301.57

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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.