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Finding the Fourth Proportional to 9,911.69, 13,678.54 and 5,435.61

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Solution

The fourth proportional to 9,911.69, 13,678.54 and 5,435.61 is: 7,501.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,911.69 : 13,678.54 = 5,435.61 : x
  2. Step 2: Convert to fraction form
    9,911.69/13,678.54 = 5,435.61/x
  3. Step 3: Cross multiply
    9,911.69x = 13,678.54 × 5,435.61
  4. Step 4: Simplify right side
    9,911.69x = 74,351,208.81
  5. Step 5: Solve for x
    x = 74,351,208.81/9,911.69
  6. Step 6: Final answer
    x = 7,501.37

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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.