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Finding the Fourth Proportional to 9,396.76, 12,967.54 and 5,205

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Solution

The fourth proportional to 9,396.76, 12,967.54 and 5,205 is: 7,182.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,396.76 : 12,967.54 = 5,205 : x
  2. Step 2: Convert to fraction form
    9,396.76/12,967.54 = 5,205/x
  3. Step 3: Cross multiply
    9,396.76x = 12,967.54 × 5,205
  4. Step 4: Simplify right side
    9,396.76x = 67,496,045.70
  5. Step 5: Solve for x
    x = 67,496,045.70/9,396.76
  6. Step 6: Final answer
    x = 7,182.91

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.