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Finding the Fourth Proportional to 9,910.93, 13,677.71 and 6,547.84

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Solution

The fourth proportional to 9,910.93, 13,677.71 and 6,547.84 is: 9,036.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,910.93 : 13,677.71 = 6,547.84 : x
  2. Step 2: Convert to fraction form
    9,910.93/13,677.71 = 6,547.84/x
  3. Step 3: Cross multiply
    9,910.93x = 13,677.71 × 6,547.84
  4. Step 4: Simplify right side
    9,910.93x = 89,559,431.36
  5. Step 5: Solve for x
    x = 89,559,431.36/9,910.93
  6. Step 6: Final answer
    x = 9,036.44

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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.