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Finding the Fourth Proportional to 9,148.64, 13,710.62 and 6,671.86

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Solution

The fourth proportional to 9,148.64, 13,710.62 and 6,671.86 is: 9,998.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,148.64 : 13,710.62 = 6,671.86 : x
  2. Step 2: Convert to fraction form
    9,148.64/13,710.62 = 6,671.86/x
  3. Step 3: Cross multiply
    9,148.64x = 13,710.62 × 6,671.86
  4. Step 4: Simplify right side
    9,148.64x = 91,475,319.56
  5. Step 5: Solve for x
    x = 91,475,319.56/9,148.64
  6. Step 6: Final answer
    x = 9,998.79

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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.