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Finding the Fourth Proportional to 9,412.15, 14,118.08 and 2,296.47

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Solution

The fourth proportional to 9,412.15, 14,118.08 and 2,296.47 is: 3,444.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,412.15 : 14,118.08 = 2,296.47 : x
  2. Step 2: Convert to fraction form
    9,412.15/14,118.08 = 2,296.47/x
  3. Step 3: Cross multiply
    9,412.15x = 14,118.08 × 2,296.47
  4. Step 4: Simplify right side
    9,412.15x = 32,421,747.18
  5. Step 5: Solve for x
    x = 32,421,747.18/9,412.15
  6. Step 6: Final answer
    x = 3,444.67

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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.