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Finding the Fourth Proportional to 9,705.24, 13,394.84 and 7,613.01

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Solution

The fourth proportional to 9,705.24, 13,394.84 and 7,613.01 is: 10,507.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,705.24 : 13,394.84 = 7,613.01 : x
  2. Step 2: Convert to fraction form
    9,705.24/13,394.84 = 7,613.01/x
  3. Step 3: Cross multiply
    9,705.24x = 13,394.84 × 7,613.01
  4. Step 4: Simplify right side
    9,705.24x = 101,975,012.80
  5. Step 5: Solve for x
    x = 101,975,012.80/9,705.24
  6. Step 6: Final answer
    x = 10,507.21

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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.