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Finding the Fourth Proportional to 9,285.15, 13,911.51 and 7,735.11

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Solution

The fourth proportional to 9,285.15, 13,911.51 and 7,735.11 is: 11,589.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,285.15 : 13,911.51 = 7,735.11 : x
  2. Step 2: Convert to fraction form
    9,285.15/13,911.51 = 7,735.11/x
  3. Step 3: Cross multiply
    9,285.15x = 13,911.51 × 7,735.11
  4. Step 4: Simplify right side
    9,285.15x = 107,607,060.12
  5. Step 5: Solve for x
    x = 107,607,060.12/9,285.15
  6. Step 6: Final answer
    x = 11,589.16

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.