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Finding the Fourth Proportional to 9,416.84, 14,123.32 and 8,948.48

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Solution

The fourth proportional to 9,416.84, 14,123.32 and 8,948.48 is: 13,420.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,416.84 : 14,123.32 = 8,948.48 : x
  2. Step 2: Convert to fraction form
    9,416.84/14,123.32 = 8,948.48/x
  3. Step 3: Cross multiply
    9,416.84x = 14,123.32 × 8,948.48
  4. Step 4: Simplify right side
    9,416.84x = 126,382,153.57
  5. Step 5: Solve for x
    x = 126,382,153.57/9,416.84
  6. Step 6: Final answer
    x = 13,420.87

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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.