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Finding the Fourth Proportional to 9,820.88, 14,731.32 and 5,714

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Solution

The fourth proportional to 9,820.88, 14,731.32 and 5,714 is: 8,571.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,820.88 : 14,731.32 = 5,714 : x
  2. Step 2: Convert to fraction form
    9,820.88/14,731.32 = 5,714/x
  3. Step 3: Cross multiply
    9,820.88x = 14,731.32 × 5,714
  4. Step 4: Simplify right side
    9,820.88x = 84,174,762.48
  5. Step 5: Solve for x
    x = 84,174,762.48/9,820.88
  6. Step 6: Final answer
    x = 8,571.00

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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.