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Finding the Fourth Proportional to 9,480.22, 14,228.07 and 6,709.58

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Solution

The fourth proportional to 9,480.22, 14,228.07 and 6,709.58 is: 10,069.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,480.22 : 14,228.07 = 6,709.58 : x
  2. Step 2: Convert to fraction form
    9,480.22/14,228.07 = 6,709.58/x
  3. Step 3: Cross multiply
    9,480.22x = 14,228.07 × 6,709.58
  4. Step 4: Simplify right side
    9,480.22x = 95,464,302.77
  5. Step 5: Solve for x
    x = 95,464,302.77/9,480.22
  6. Step 6: Final answer
    x = 10,069.84

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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.