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Finding the Fourth Proportional to 9,478.83, 14,206.70 and 6,706.31

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Solution

The fourth proportional to 9,478.83, 14,206.70 and 6,706.31 is: 10,051.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,478.83 : 14,206.70 = 6,706.31 : x
  2. Step 2: Convert to fraction form
    9,478.83/14,206.70 = 6,706.31/x
  3. Step 3: Cross multiply
    9,478.83x = 14,206.70 × 6,706.31
  4. Step 4: Simplify right side
    9,478.83x = 95,274,429.71
  5. Step 5: Solve for x
    x = 95,274,429.71/9,478.83
  6. Step 6: Final answer
    x = 10,051.29

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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.