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Finding the Fourth Proportional to 9,678.46, 13,356.12 and 5,429.68

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Solution

The fourth proportional to 9,678.46, 13,356.12 and 5,429.68 is: 7,492.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,678.46 : 13,356.12 = 5,429.68 : x
  2. Step 2: Convert to fraction form
    9,678.46/13,356.12 = 5,429.68/x
  3. Step 3: Cross multiply
    9,678.46x = 13,356.12 × 5,429.68
  4. Step 4: Simplify right side
    9,678.46x = 72,519,473.93
  5. Step 5: Solve for x
    x = 72,519,473.93/9,678.46
  6. Step 6: Final answer
    x = 7,492.87

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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.