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Finding the Fourth Proportional to 9,870.08, 14,788.68 and 6,942.21

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Solution

The fourth proportional to 9,870.08, 14,788.68 and 6,942.21 is: 10,401.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,870.08 : 14,788.68 = 6,942.21 : x
  2. Step 2: Convert to fraction form
    9,870.08/14,788.68 = 6,942.21/x
  3. Step 3: Cross multiply
    9,870.08x = 14,788.68 × 6,942.21
  4. Step 4: Simplify right side
    9,870.08x = 102,666,122.18
  5. Step 5: Solve for x
    x = 102,666,122.18/9,870.08
  6. Step 6: Final answer
    x = 10,401.76

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.