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Finding the Fourth Proportional to 6,393.80, 9,590.70 and 3,283.40

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Solution

The fourth proportional to 6,393.80, 9,590.70 and 3,283.40 is: 4,925.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,393.80 : 9,590.70 = 3,283.40 : x
  2. Step 2: Convert to fraction form
    6,393.80/9,590.70 = 3,283.40/x
  3. Step 3: Cross multiply
    6,393.80x = 9,590.70 × 3,283.40
  4. Step 4: Simplify right side
    6,393.80x = 31,490,104.38
  5. Step 5: Solve for x
    x = 31,490,104.38/6,393.80
  6. Step 6: Final answer
    x = 4,925.10

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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.