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Finding the Fourth Proportional to 9,675.90, 13,340.38 and 6,266.89

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Solution

The fourth proportional to 9,675.90, 13,340.38 and 6,266.89 is: 8,640.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,675.90 : 13,340.38 = 6,266.89 : x
  2. Step 2: Convert to fraction form
    9,675.90/13,340.38 = 6,266.89/x
  3. Step 3: Cross multiply
    9,675.90x = 13,340.38 × 6,266.89
  4. Step 4: Simplify right side
    9,675.90x = 83,602,657.67
  5. Step 5: Solve for x
    x = 83,602,657.67/9,675.90
  6. Step 6: Final answer
    x = 8,640.30

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.