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Finding the Fourth Proportional to 8,594.40, 12,866.40 and 6,412.80

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Solution

The fourth proportional to 8,594.40, 12,866.40 and 6,412.80 is: 9,600.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,594.40 : 12,866.40 = 6,412.80 : x
  2. Step 2: Convert to fraction form
    8,594.40/12,866.40 = 6,412.80/x
  3. Step 3: Cross multiply
    8,594.40x = 12,866.40 × 6,412.80
  4. Step 4: Simplify right side
    8,594.40x = 82,509,649.92
  5. Step 5: Solve for x
    x = 82,509,649.92/8,594.40
  6. Step 6: Final answer
    x = 9,600.40

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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.