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Finding the Fourth Proportional to 9,911.05, 13,677.88 and 6,547.97

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Solution

The fourth proportional to 9,911.05, 13,677.88 and 6,547.97 is: 9,036.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,911.05 : 13,677.88 = 6,547.97 : x
  2. Step 2: Convert to fraction form
    9,911.05/13,677.88 = 6,547.97/x
  3. Step 3: Cross multiply
    9,911.05x = 13,677.88 × 6,547.97
  4. Step 4: Simplify right side
    9,911.05x = 89,562,331.53
  5. Step 5: Solve for x
    x = 89,562,331.53/9,911.05
  6. Step 6: Final answer
    x = 9,036.62

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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.