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Finding the Fourth Proportional to 9,012.35, 12,435.23 and 5,032.85

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Solution

The fourth proportional to 9,012.35, 12,435.23 and 5,032.85 is: 6,944.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,012.35 : 12,435.23 = 5,032.85 : x
  2. Step 2: Convert to fraction form
    9,012.35/12,435.23 = 5,032.85/x
  3. Step 3: Cross multiply
    9,012.35x = 12,435.23 × 5,032.85
  4. Step 4: Simplify right side
    9,012.35x = 62,584,647.31
  5. Step 5: Solve for x
    x = 62,584,647.31/9,012.35
  6. Step 6: Final answer
    x = 6,944.32

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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.