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Finding the Fourth Proportional to 9,406.75, 12,981.45 and 5,215

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Solution

The fourth proportional to 9,406.75, 12,981.45 and 5,215 is: 7,196.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,406.75 : 12,981.45 = 5,215 : x
  2. Step 2: Convert to fraction form
    9,406.75/12,981.45 = 5,215/x
  3. Step 3: Cross multiply
    9,406.75x = 12,981.45 × 5,215
  4. Step 4: Simplify right side
    9,406.75x = 67,698,261.75
  5. Step 5: Solve for x
    x = 67,698,261.75/9,406.75
  6. Step 6: Final answer
    x = 7,196.77

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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.