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Finding the Fourth Proportional to 9,040.70, 12,477.48 and 5,211.60

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Solution

The fourth proportional to 9,040.70, 12,477.48 and 5,211.60 is: 7,192.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,040.70 : 12,477.48 = 5,211.60 : x
  2. Step 2: Convert to fraction form
    9,040.70/12,477.48 = 5,211.60/x
  3. Step 3: Cross multiply
    9,040.70x = 12,477.48 × 5,211.60
  4. Step 4: Simplify right side
    9,040.70x = 65,027,634.77
  5. Step 5: Solve for x
    x = 65,027,634.77/9,040.70
  6. Step 6: Final answer
    x = 7,192.77

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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.