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Finding the Fourth Proportional to 8,919.61, 12,309.14 and 5,382.14

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Solution

The fourth proportional to 8,919.61, 12,309.14 and 5,382.14 is: 7,427.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,919.61 : 12,309.14 = 5,382.14 : x
  2. Step 2: Convert to fraction form
    8,919.61/12,309.14 = 5,382.14/x
  3. Step 3: Cross multiply
    8,919.61x = 12,309.14 × 5,382.14
  4. Step 4: Simplify right side
    8,919.61x = 66,249,466.67
  5. Step 5: Solve for x
    x = 66,249,466.67/8,919.61
  6. Step 6: Final answer
    x = 7,427.40

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Why These Related Problems?

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