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Finding the Fourth Proportional to 9,341.33, 12,875.76 and 6,823.85

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Solution

The fourth proportional to 9,341.33, 12,875.76 and 6,823.85 is: 9,405.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,341.33 : 12,875.76 = 6,823.85 : x
  2. Step 2: Convert to fraction form
    9,341.33/12,875.76 = 6,823.85/x
  3. Step 3: Cross multiply
    9,341.33x = 12,875.76 × 6,823.85
  4. Step 4: Simplify right side
    9,341.33x = 87,862,190.50
  5. Step 5: Solve for x
    x = 87,862,190.50/9,341.33
  6. Step 6: Final answer
    x = 9,405.75

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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.