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Finding the Fourth Proportional to 6,864.89, 9,457.36 and 5,662.04

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Solution

The fourth proportional to 6,864.89, 9,457.36 and 5,662.04 is: 7,800.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,864.89 : 9,457.36 = 5,662.04 : x
  2. Step 2: Convert to fraction form
    6,864.89/9,457.36 = 5,662.04/x
  3. Step 3: Cross multiply
    6,864.89x = 9,457.36 × 5,662.04
  4. Step 4: Simplify right side
    6,864.89x = 53,547,889.17
  5. Step 5: Solve for x
    x = 53,547,889.17/6,864.89
  6. Step 6: Final answer
    x = 7,800.26

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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.