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Finding the Fourth Proportional to 9,284.33, 13,931.09 and 4,354.35

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Solution

The fourth proportional to 9,284.33, 13,931.09 and 4,354.35 is: 6,533.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,284.33 : 13,931.09 = 4,354.35 : x
  2. Step 2: Convert to fraction form
    9,284.33/13,931.09 = 4,354.35/x
  3. Step 3: Cross multiply
    9,284.33x = 13,931.09 × 4,354.35
  4. Step 4: Simplify right side
    9,284.33x = 60,660,750.31
  5. Step 5: Solve for x
    x = 60,660,750.31/9,284.33
  6. Step 6: Final answer
    x = 6,533.67

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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.