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Finding the Fourth Proportional to 9,507.89, 13,107.16 and 6,518.99

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Solution

The fourth proportional to 9,507.89, 13,107.16 and 6,518.99 is: 8,986.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,507.89 : 13,107.16 = 6,518.99 : x
  2. Step 2: Convert to fraction form
    9,507.89/13,107.16 = 6,518.99/x
  3. Step 3: Cross multiply
    9,507.89x = 13,107.16 × 6,518.99
  4. Step 4: Simplify right side
    9,507.89x = 85,445,444.97
  5. Step 5: Solve for x
    x = 85,445,444.97/9,507.89
  6. Step 6: Final answer
    x = 8,986.79

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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.