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Finding the Fourth Proportional to 9,379.48, 12,942 and 5,346.28

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Solution

The fourth proportional to 9,379.48, 12,942 and 5,346.28 is: 7,376.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,379.48 : 12,942 = 5,346.28 : x
  2. Step 2: Convert to fraction form
    9,379.48/12,942 = 5,346.28/x
  3. Step 3: Cross multiply
    9,379.48x = 12,942 × 5,346.28
  4. Step 4: Simplify right side
    9,379.48x = 69,191,555.76
  5. Step 5: Solve for x
    x = 69,191,555.76/9,379.48
  6. Step 6: Final answer
    x = 7,376.91

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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.