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Finding the Fourth Proportional to 9,714.15, 13,398.35 and 6,690.23

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Solution

The fourth proportional to 9,714.15, 13,398.35 and 6,690.23 is: 9,227.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,714.15 : 13,398.35 = 6,690.23 : x
  2. Step 2: Convert to fraction form
    9,714.15/13,398.35 = 6,690.23/x
  3. Step 3: Cross multiply
    9,714.15x = 13,398.35 × 6,690.23
  4. Step 4: Simplify right side
    9,714.15x = 89,638,043.12
  5. Step 5: Solve for x
    x = 89,638,043.12/9,714.15
  6. Step 6: Final answer
    x = 9,227.57

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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.