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Finding the Fourth Proportional to 9,381.89, 14,070.74 and 2,807.24

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Solution

The fourth proportional to 9,381.89, 14,070.74 and 2,807.24 is: 4,210.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,381.89 : 14,070.74 = 2,807.24 : x
  2. Step 2: Convert to fraction form
    9,381.89/14,070.74 = 2,807.24/x
  3. Step 3: Cross multiply
    9,381.89x = 14,070.74 × 2,807.24
  4. Step 4: Simplify right side
    9,381.89x = 39,499,859.77
  5. Step 5: Solve for x
    x = 39,499,859.77/9,381.89
  6. Step 6: Final answer
    x = 4,210.22

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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.