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Finding the Fourth Proportional to 6,899.24, 9,518.47 and 4,631.13

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Solution

The fourth proportional to 6,899.24, 9,518.47 and 4,631.13 is: 6,389.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,899.24 : 9,518.47 = 4,631.13 : x
  2. Step 2: Convert to fraction form
    6,899.24/9,518.47 = 4,631.13/x
  3. Step 3: Cross multiply
    6,899.24x = 9,518.47 × 4,631.13
  4. Step 4: Simplify right side
    6,899.24x = 44,081,271.97
  5. Step 5: Solve for x
    x = 44,081,271.97/6,899.24
  6. Step 6: Final answer
    x = 6,389.29

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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.