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Finding the Fourth Proportional to 9,706.24, 13,394.08 and 5,290.24

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Solution

The fourth proportional to 9,706.24, 13,394.08 and 5,290.24 is: 7,300.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,706.24 : 13,394.08 = 5,290.24 : x
  2. Step 2: Convert to fraction form
    9,706.24/13,394.08 = 5,290.24/x
  3. Step 3: Cross multiply
    9,706.24x = 13,394.08 × 5,290.24
  4. Step 4: Simplify right side
    9,706.24x = 70,857,897.78
  5. Step 5: Solve for x
    x = 70,857,897.78/9,706.24
  6. Step 6: Final answer
    x = 7,300.24

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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.