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Finding the Fourth Proportional to 8,999.62, 12,411.40 and 5,642.80

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Solution

The fourth proportional to 8,999.62, 12,411.40 and 5,642.80 is: 7,782.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,999.62 : 12,411.40 = 5,642.80 : x
  2. Step 2: Convert to fraction form
    8,999.62/12,411.40 = 5,642.80/x
  3. Step 3: Cross multiply
    8,999.62x = 12,411.40 × 5,642.80
  4. Step 4: Simplify right side
    8,999.62x = 70,035,047.92
  5. Step 5: Solve for x
    x = 70,035,047.92/8,999.62
  6. Step 6: Final answer
    x = 7,782.00

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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.