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Finding the Fourth Proportional to 9,851.37, 13,594.89 and 6,314.58

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Solution

The fourth proportional to 9,851.37, 13,594.89 and 6,314.58 is: 8,714.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,851.37 : 13,594.89 = 6,314.58 : x
  2. Step 2: Convert to fraction form
    9,851.37/13,594.89 = 6,314.58/x
  3. Step 3: Cross multiply
    9,851.37x = 13,594.89 × 6,314.58
  4. Step 4: Simplify right side
    9,851.37x = 85,845,954.94
  5. Step 5: Solve for x
    x = 85,845,954.94/9,851.37
  6. Step 6: Final answer
    x = 8,714.11

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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.