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Finding the Fourth Proportional to 9,714.32, 13,407.77 and 6,350.89

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Solution

The fourth proportional to 9,714.32, 13,407.77 and 6,350.89 is: 8,765.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,714.32 : 13,407.77 = 6,350.89 : x
  2. Step 2: Convert to fraction form
    9,714.32/13,407.77 = 6,350.89/x
  3. Step 3: Cross multiply
    9,714.32x = 13,407.77 × 6,350.89
  4. Step 4: Simplify right side
    9,714.32x = 85,151,254.77
  5. Step 5: Solve for x
    x = 85,151,254.77/9,714.32
  6. Step 6: Final answer
    x = 8,765.54

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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.