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Finding the Fourth Proportional to 6,561.84, 9,047.98 and 5,363.11

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Solution

The fourth proportional to 6,561.84, 9,047.98 and 5,363.11 is: 7,395.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,561.84 : 9,047.98 = 5,363.11 : x
  2. Step 2: Convert to fraction form
    6,561.84/9,047.98 = 5,363.11/x
  3. Step 3: Cross multiply
    6,561.84x = 9,047.98 × 5,363.11
  4. Step 4: Simplify right side
    6,561.84x = 48,525,284.06
  5. Step 5: Solve for x
    x = 48,525,284.06/6,561.84
  6. Step 6: Final answer
    x = 7,395.07

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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.