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Finding the Fourth Proportional to 9,346.59, 14,012.91 and 5,647.98

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Solution

The fourth proportional to 9,346.59, 14,012.91 and 5,647.98 is: 8,467.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,346.59 : 14,012.91 = 5,647.98 : x
  2. Step 2: Convert to fraction form
    9,346.59/14,012.91 = 5,647.98/x
  3. Step 3: Cross multiply
    9,346.59x = 14,012.91 × 5,647.98
  4. Step 4: Simplify right side
    9,346.59x = 79,144,635.42
  5. Step 5: Solve for x
    x = 79,144,635.42/9,346.59
  6. Step 6: Final answer
    x = 8,467.76

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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.