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Finding the Fourth Proportional to 9,679.29, 13,356.94 and 5,429.82

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Solution

The fourth proportional to 9,679.29, 13,356.94 and 5,429.82 is: 7,492.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,679.29 : 13,356.94 = 5,429.82 : x
  2. Step 2: Convert to fraction form
    9,679.29/13,356.94 = 5,429.82/x
  3. Step 3: Cross multiply
    9,679.29x = 13,356.94 × 5,429.82
  4. Step 4: Simplify right side
    9,679.29x = 72,525,779.95
  5. Step 5: Solve for x
    x = 72,525,779.95/9,679.29
  6. Step 6: Final answer
    x = 7,492.88

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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.