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Finding the Fourth Proportional to 6,287.32, 9,429 and 2,126.89

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Solution

The fourth proportional to 6,287.32, 9,429 and 2,126.89 is: 3,189.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,287.32 : 9,429 = 2,126.89 : x
  2. Step 2: Convert to fraction form
    6,287.32/9,429 = 2,126.89/x
  3. Step 3: Cross multiply
    6,287.32x = 9,429 × 2,126.89
  4. Step 4: Simplify right side
    6,287.32x = 20,054,445.81
  5. Step 5: Solve for x
    x = 20,054,445.81/6,287.32
  6. Step 6: Final answer
    x = 3,189.67

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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.