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Finding the Fourth Proportional to 6,814.08, 9,401.76 and 4,572

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Solution

The fourth proportional to 6,814.08, 9,401.76 and 4,572 is: 6,308.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,814.08 : 9,401.76 = 4,572 : x
  2. Step 2: Convert to fraction form
    6,814.08/9,401.76 = 4,572/x
  3. Step 3: Cross multiply
    6,814.08x = 9,401.76 × 4,572
  4. Step 4: Simplify right side
    6,814.08x = 42,984,846.72
  5. Step 5: Solve for x
    x = 42,984,846.72/6,814.08
  6. Step 6: Final answer
    x = 6,308.24

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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.