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Finding the Fourth Proportional to 9,202.50, 12,699.46 and 5,010.76

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Solution

The fourth proportional to 9,202.50, 12,699.46 and 5,010.76 is: 6,914.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,202.50 : 12,699.46 = 5,010.76 : x
  2. Step 2: Convert to fraction form
    9,202.50/12,699.46 = 5,010.76/x
  3. Step 3: Cross multiply
    9,202.50x = 12,699.46 × 5,010.76
  4. Step 4: Simplify right side
    9,202.50x = 63,633,946.19
  5. Step 5: Solve for x
    x = 63,633,946.19/9,202.50
  6. Step 6: Final answer
    x = 6,914.85

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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.