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Finding the Fourth Proportional to 9,718.16, 13,411.02 and 5,469.26

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Solution

The fourth proportional to 9,718.16, 13,411.02 and 5,469.26 is: 7,547.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,718.16 : 13,411.02 = 5,469.26 : x
  2. Step 2: Convert to fraction form
    9,718.16/13,411.02 = 5,469.26/x
  3. Step 3: Cross multiply
    9,718.16x = 13,411.02 × 5,469.26
  4. Step 4: Simplify right side
    9,718.16x = 73,348,355.25
  5. Step 5: Solve for x
    x = 73,348,355.25/9,718.16
  6. Step 6: Final answer
    x = 7,547.56

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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.