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Finding the Fourth Proportional to 9,415.64, 14,125.29 and 4,148.62

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Solution

The fourth proportional to 9,415.64, 14,125.29 and 4,148.62 is: 6,223.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,415.64 : 14,125.29 = 4,148.62 : x
  2. Step 2: Convert to fraction form
    9,415.64/14,125.29 = 4,148.62/x
  3. Step 3: Cross multiply
    9,415.64x = 14,125.29 × 4,148.62
  4. Step 4: Simplify right side
    9,415.64x = 58,600,409.73
  5. Step 5: Solve for x
    x = 58,600,409.73/9,415.64
  6. Step 6: Final answer
    x = 6,223.73

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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.