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Finding the Fourth Proportional to 9,679.59, 13,356.74 and 5,429.77

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Solution

The fourth proportional to 9,679.59, 13,356.74 and 5,429.77 is: 7,492.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,679.59 : 13,356.74 = 5,429.77 : x
  2. Step 2: Convert to fraction form
    9,679.59/13,356.74 = 5,429.77/x
  3. Step 3: Cross multiply
    9,679.59x = 13,356.74 × 5,429.77
  4. Step 4: Simplify right side
    9,679.59x = 72,524,006.33
  5. Step 5: Solve for x
    x = 72,524,006.33/9,679.59
  6. Step 6: Final answer
    x = 7,492.47

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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.