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Finding the Fourth Proportional to 9,193.17, 12,675.36 and 7,774.32

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Solution

The fourth proportional to 9,193.17, 12,675.36 and 7,774.32 is: 10,719.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,193.17 : 12,675.36 = 7,774.32 : x
  2. Step 2: Convert to fraction form
    9,193.17/12,675.36 = 7,774.32/x
  3. Step 3: Cross multiply
    9,193.17x = 12,675.36 × 7,774.32
  4. Step 4: Simplify right side
    9,193.17x = 98,542,304.76
  5. Step 5: Solve for x
    x = 98,542,304.76/9,193.17
  6. Step 6: Final answer
    x = 10,719.08

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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.