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Finding the Fourth Proportional to 9,714.08, 13,410.96 and 6,411.68

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Solution

The fourth proportional to 9,714.08, 13,410.96 and 6,411.68 is: 8,851.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,714.08 : 13,410.96 = 6,411.68 : x
  2. Step 2: Convert to fraction form
    9,714.08/13,410.96 = 6,411.68/x
  3. Step 3: Cross multiply
    9,714.08x = 13,410.96 × 6,411.68
  4. Step 4: Simplify right side
    9,714.08x = 85,986,784.01
  5. Step 5: Solve for x
    x = 85,986,784.01/9,714.08
  6. Step 6: Final answer
    x = 8,851.77

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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.