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Finding the Fourth Proportional to 9,796.23, 13,519.20 and 5,547.50

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Solution

The fourth proportional to 9,796.23, 13,519.20 and 5,547.50 is: 7,655.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,796.23 : 13,519.20 = 5,547.50 : x
  2. Step 2: Convert to fraction form
    9,796.23/13,519.20 = 5,547.50/x
  3. Step 3: Cross multiply
    9,796.23x = 13,519.20 × 5,547.50
  4. Step 4: Simplify right side
    9,796.23x = 74,997,694.40
  5. Step 5: Solve for x
    x = 74,997,694.40/9,796.23
  6. Step 6: Final answer
    x = 7,655.77

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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.