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Finding the Fourth Proportional to 10,367.84, 14,303.32 and 6,117.22

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Solution

The fourth proportional to 10,367.84, 14,303.32 and 6,117.22 is: 8,439.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,367.84 : 14,303.32 = 6,117.22 : x
  2. Step 2: Convert to fraction form
    10,367.84/14,303.32 = 6,117.22/x
  3. Step 3: Cross multiply
    10,367.84x = 14,303.32 × 6,117.22
  4. Step 4: Simplify right side
    10,367.84x = 87,496,453.07
  5. Step 5: Solve for x
    x = 87,496,453.07/10,367.84
  6. Step 6: Final answer
    x = 8,439.22

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.