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Finding the Fourth Proportional to 9,294.98, 13,939.32 and 3,746.93

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Solution

The fourth proportional to 9,294.98, 13,939.32 and 3,746.93 is: 5,619.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,294.98 : 13,939.32 = 3,746.93 : x
  2. Step 2: Convert to fraction form
    9,294.98/13,939.32 = 3,746.93/x
  3. Step 3: Cross multiply
    9,294.98x = 13,939.32 × 3,746.93
  4. Step 4: Simplify right side
    9,294.98x = 52,229,656.29
  5. Step 5: Solve for x
    x = 52,229,656.29/9,294.98
  6. Step 6: Final answer
    x = 5,619.13

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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.