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Finding the Fourth Proportional to 9,506.98, 13,119.33 and 6,678.46

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Solution

The fourth proportional to 9,506.98, 13,119.33 and 6,678.46 is: 9,216.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,506.98 : 13,119.33 = 6,678.46 : x
  2. Step 2: Convert to fraction form
    9,506.98/13,119.33 = 6,678.46/x
  3. Step 3: Cross multiply
    9,506.98x = 13,119.33 × 6,678.46
  4. Step 4: Simplify right side
    9,506.98x = 87,616,920.63
  5. Step 5: Solve for x
    x = 87,616,920.63/9,506.98
  6. Step 6: Final answer
    x = 9,216.06

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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.