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Finding the Fourth Proportional to 9,810.29, 14,706 and 6,290.43

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Solution

The fourth proportional to 9,810.29, 14,706 and 6,290.43 is: 9,429.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,810.29 : 14,706 = 6,290.43 : x
  2. Step 2: Convert to fraction form
    9,810.29/14,706 = 6,290.43/x
  3. Step 3: Cross multiply
    9,810.29x = 14,706 × 6,290.43
  4. Step 4: Simplify right side
    9,810.29x = 92,507,063.58
  5. Step 5: Solve for x
    x = 92,507,063.58/9,810.29
  6. Step 6: Final answer
    x = 9,429.60

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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.