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Finding the Fourth Proportional to 6,393.34, 9,590.46 and 1,713.34

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Solution

The fourth proportional to 6,393.34, 9,590.46 and 1,713.34 is: 2,570.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,393.34 : 9,590.46 = 1,713.34 : x
  2. Step 2: Convert to fraction form
    6,393.34/9,590.46 = 1,713.34/x
  3. Step 3: Cross multiply
    6,393.34x = 9,590.46 × 1,713.34
  4. Step 4: Simplify right side
    6,393.34x = 16,431,718.74
  5. Step 5: Solve for x
    x = 16,431,718.74/6,393.34
  6. Step 6: Final answer
    x = 2,570.13

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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.