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Finding the Fourth Proportional to 10,766.49, 14,852.34 and 9,348.26

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Solution

The fourth proportional to 10,766.49, 14,852.34 and 9,348.26 is: 12,895.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,766.49 : 14,852.34 = 9,348.26 : x
  2. Step 2: Convert to fraction form
    10,766.49/14,852.34 = 9,348.26/x
  3. Step 3: Cross multiply
    10,766.49x = 14,852.34 × 9,348.26
  4. Step 4: Simplify right side
    10,766.49x = 138,843,461.67
  5. Step 5: Solve for x
    x = 138,843,461.67/10,766.49
  6. Step 6: Final answer
    x = 12,895.89

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