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Finding the Fourth Proportional to 9,706.29, 13,376.91 and 7,049.08

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Solution

The fourth proportional to 9,706.29, 13,376.91 and 7,049.08 is: 9,714.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,706.29 : 13,376.91 = 7,049.08 : x
  2. Step 2: Convert to fraction form
    9,706.29/13,376.91 = 7,049.08/x
  3. Step 3: Cross multiply
    9,706.29x = 13,376.91 × 7,049.08
  4. Step 4: Simplify right side
    9,706.29x = 94,294,908.74
  5. Step 5: Solve for x
    x = 94,294,908.74/9,706.29
  6. Step 6: Final answer
    x = 9,714.83

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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.