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Finding the Fourth Proportional to 6,290.47, 9,437.10 and 2,130.13

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Solution

The fourth proportional to 6,290.47, 9,437.10 and 2,130.13 is: 3,195.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,290.47 : 9,437.10 = 2,130.13 : x
  2. Step 2: Convert to fraction form
    6,290.47/9,437.10 = 2,130.13/x
  3. Step 3: Cross multiply
    6,290.47x = 9,437.10 × 2,130.13
  4. Step 4: Simplify right side
    6,290.47x = 20,102,249.82
  5. Step 5: Solve for x
    x = 20,102,249.82/6,290.47
  6. Step 6: Final answer
    x = 3,195.67

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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.