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Finding the Fourth Proportional to 6,855.64, 9,457.30 and 4,021.16

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Solution

The fourth proportional to 6,855.64, 9,457.30 and 4,021.16 is: 5,547.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,855.64 : 9,457.30 = 4,021.16 : x
  2. Step 2: Convert to fraction form
    6,855.64/9,457.30 = 4,021.16/x
  3. Step 3: Cross multiply
    6,855.64x = 9,457.30 × 4,021.16
  4. Step 4: Simplify right side
    6,855.64x = 38,029,316.47
  5. Step 5: Solve for x
    x = 38,029,316.47/6,855.64
  6. Step 6: Final answer
    x = 5,547.16

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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.