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Finding the Fourth Proportional to 8,307.09, 12,464.28 and 5,714.28

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Solution

The fourth proportional to 8,307.09, 12,464.28 and 5,714.28 is: 8,573.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,307.09 : 12,464.28 = 5,714.28 : x
  2. Step 2: Convert to fraction form
    8,307.09/12,464.28 = 5,714.28/x
  3. Step 3: Cross multiply
    8,307.09x = 12,464.28 × 5,714.28
  4. Step 4: Simplify right side
    8,307.09x = 71,224,385.92
  5. Step 5: Solve for x
    x = 71,224,385.92/8,307.09
  6. Step 6: Final answer
    x = 8,573.93

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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.