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Finding the Fourth Proportional to 9,193.34, 12,686.08 and 5,215.09

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Solution

The fourth proportional to 9,193.34, 12,686.08 and 5,215.09 is: 7,196.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,193.34 : 12,686.08 = 5,215.09 : x
  2. Step 2: Convert to fraction form
    9,193.34/12,686.08 = 5,215.09/x
  3. Step 3: Cross multiply
    9,193.34x = 12,686.08 × 5,215.09
  4. Step 4: Simplify right side
    9,193.34x = 66,159,048.95
  5. Step 5: Solve for x
    x = 66,159,048.95/9,193.34
  6. Step 6: Final answer
    x = 7,196.41

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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.