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Finding the Fourth Proportional to 9,670.05, 13,344.48 and 6,306.48

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Solution

The fourth proportional to 9,670.05, 13,344.48 and 6,306.48 is: 8,702.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,670.05 : 13,344.48 = 6,306.48 : x
  2. Step 2: Convert to fraction form
    9,670.05/13,344.48 = 6,306.48/x
  3. Step 3: Cross multiply
    9,670.05x = 13,344.48 × 6,306.48
  4. Step 4: Simplify right side
    9,670.05x = 84,156,696.23
  5. Step 5: Solve for x
    x = 84,156,696.23/9,670.05
  6. Step 6: Final answer
    x = 8,702.82

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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.