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Finding the Fourth Proportional to 9,705.84, 13,394.19 and 5,513.28

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Solution

The fourth proportional to 9,705.84, 13,394.19 and 5,513.28 is: 7,608.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,705.84 : 13,394.19 = 5,513.28 : x
  2. Step 2: Convert to fraction form
    9,705.84/13,394.19 = 5,513.28/x
  3. Step 3: Cross multiply
    9,705.84x = 13,394.19 × 5,513.28
  4. Step 4: Simplify right side
    9,705.84x = 73,845,919.84
  5. Step 5: Solve for x
    x = 73,845,919.84/9,705.84
  6. Step 6: Final answer
    x = 7,608.40

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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.