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Finding the Fourth Proportional to 9,678.47, 13,356.05 and 5,429.54

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Solution

The fourth proportional to 9,678.47, 13,356.05 and 5,429.54 is: 7,492.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,678.47 : 13,356.05 = 5,429.54 : x
  2. Step 2: Convert to fraction form
    9,678.47/13,356.05 = 5,429.54/x
  3. Step 3: Cross multiply
    9,678.47x = 13,356.05 × 5,429.54
  4. Step 4: Simplify right side
    9,678.47x = 72,517,213.96
  5. Step 5: Solve for x
    x = 72,517,213.96/9,678.47
  6. Step 6: Final answer
    x = 7,492.64

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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.