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Finding the Fourth Proportional to 9,670.41, 14,506.83 and 3,344.72

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Solution

The fourth proportional to 9,670.41, 14,506.83 and 3,344.72 is: 5,017.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,670.41 : 14,506.83 = 3,344.72 : x
  2. Step 2: Convert to fraction form
    9,670.41/14,506.83 = 3,344.72/x
  3. Step 3: Cross multiply
    9,670.41x = 14,506.83 × 3,344.72
  4. Step 4: Simplify right side
    9,670.41x = 48,521,211.90
  5. Step 5: Solve for x
    x = 48,521,211.90/9,670.41
  6. Step 6: Final answer
    x = 5,017.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.