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Finding the Fourth Proportional to 37,509.75, 56,265.17 and 9,807.75

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Solution

The fourth proportional to 37,509.75, 56,265.17 and 9,807.75 is: 14,711.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,509.75 : 56,265.17 = 9,807.75 : x
  2. Step 2: Convert to fraction form
    37,509.75/56,265.17 = 9,807.75/x
  3. Step 3: Cross multiply
    37,509.75x = 56,265.17 × 9,807.75
  4. Step 4: Simplify right side
    37,509.75x = 551,834,672.03
  5. Step 5: Solve for x
    x = 551,834,672.03/37,509.75
  6. Step 6: Final answer
    x = 14,711.77

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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.