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Finding the Fourth Proportional to 9,562.50, 14,344.29 and 3,406.50

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Solution

The fourth proportional to 9,562.50, 14,344.29 and 3,406.50 is: 5,109.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,562.50 : 14,344.29 = 3,406.50 : x
  2. Step 2: Convert to fraction form
    9,562.50/14,344.29 = 3,406.50/x
  3. Step 3: Cross multiply
    9,562.50x = 14,344.29 × 3,406.50
  4. Step 4: Simplify right side
    9,562.50x = 48,863,823.89
  5. Step 5: Solve for x
    x = 48,863,823.89/9,562.50
  6. Step 6: Final answer
    x = 5,109.94

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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.