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Finding the Fourth Proportional to 9,718.01, 13,410.70 and 5,469.08

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Solution

The fourth proportional to 9,718.01, 13,410.70 and 5,469.08 is: 7,547.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,718.01 : 13,410.70 = 5,469.08 : x
  2. Step 2: Convert to fraction form
    9,718.01/13,410.70 = 5,469.08/x
  3. Step 3: Cross multiply
    9,718.01x = 13,410.70 × 5,469.08
  4. Step 4: Simplify right side
    9,718.01x = 73,344,110.43
  5. Step 5: Solve for x
    x = 73,344,110.43/9,718.01
  6. Step 6: Final answer
    x = 7,547.23

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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.