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Finding the Fourth Proportional to 6,878.82, 9,492.69 and 4,048.02

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Solution

The fourth proportional to 6,878.82, 9,492.69 and 4,048.02 is: 5,586.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,878.82 : 9,492.69 = 4,048.02 : x
  2. Step 2: Convert to fraction form
    6,878.82/9,492.69 = 4,048.02/x
  3. Step 3: Cross multiply
    6,878.82x = 9,492.69 × 4,048.02
  4. Step 4: Simplify right side
    6,878.82x = 38,426,598.97
  5. Step 5: Solve for x
    x = 38,426,598.97/6,878.82
  6. Step 6: Final answer
    x = 5,586.22

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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.