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Finding the Fourth Proportional to 9,509.86, 13,119.18 and 6,153.75

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Solution

The fourth proportional to 9,509.86, 13,119.18 and 6,153.75 is: 8,489.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,509.86 : 13,119.18 = 6,153.75 : x
  2. Step 2: Convert to fraction form
    9,509.86/13,119.18 = 6,153.75/x
  3. Step 3: Cross multiply
    9,509.86x = 13,119.18 × 6,153.75
  4. Step 4: Simplify right side
    9,509.86x = 80,732,123.16
  5. Step 5: Solve for x
    x = 80,732,123.16/9,509.86
  6. Step 6: Final answer
    x = 8,489.31

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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.