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Finding the Fourth Proportional to 9,911.70, 13,678.32 and 5,435.18

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Solution

The fourth proportional to 9,911.70, 13,678.32 and 5,435.18 is: 7,500.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,911.70 : 13,678.32 = 5,435.18 : x
  2. Step 2: Convert to fraction form
    9,911.70/13,678.32 = 5,435.18/x
  3. Step 3: Cross multiply
    9,911.70x = 13,678.32 × 5,435.18
  4. Step 4: Simplify right side
    9,911.70x = 74,344,062.91
  5. Step 5: Solve for x
    x = 74,344,062.91/9,911.70
  6. Step 6: Final answer
    x = 7,500.64

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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.