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Finding the Fourth Proportional to 7,188.84, 9,855.90 and 7,057.62

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Solution

The fourth proportional to 7,188.84, 9,855.90 and 7,057.62 is: 9,676.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,188.84 : 9,855.90 = 7,057.62 : x
  2. Step 2: Convert to fraction form
    7,188.84/9,855.90 = 7,057.62/x
  3. Step 3: Cross multiply
    7,188.84x = 9,855.90 × 7,057.62
  4. Step 4: Simplify right side
    7,188.84x = 69,559,196.96
  5. Step 5: Solve for x
    x = 69,559,196.96/7,188.84
  6. Step 6: Final answer
    x = 9,676.00

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.