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Finding the Fourth Proportional to 9,809.70, 14,706.26 and 4,258.86

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Solution

The fourth proportional to 9,809.70, 14,706.26 and 4,258.86 is: 6,384.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,809.70 : 14,706.26 = 4,258.86 : x
  2. Step 2: Convert to fraction form
    9,809.70/14,706.26 = 4,258.86/x
  3. Step 3: Cross multiply
    9,809.70x = 14,706.26 × 4,258.86
  4. Step 4: Simplify right side
    9,809.70x = 62,631,902.46
  5. Step 5: Solve for x
    x = 62,631,902.46/9,809.70
  6. Step 6: Final answer
    x = 6,384.69

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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.