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Finding the Fourth Proportional to 9,124.53, 12,590.91 and 6,735.77

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Solution

The fourth proportional to 9,124.53, 12,590.91 and 6,735.77 is: 9,294.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,124.53 : 12,590.91 = 6,735.77 : x
  2. Step 2: Convert to fraction form
    9,124.53/12,590.91 = 6,735.77/x
  3. Step 3: Cross multiply
    9,124.53x = 12,590.91 × 6,735.77
  4. Step 4: Simplify right side
    9,124.53x = 84,809,410.90
  5. Step 5: Solve for x
    x = 84,809,410.90/9,124.53
  6. Step 6: Final answer
    x = 9,294.66

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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.