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Finding the Fourth Proportional to 6,873.85, 9,483.23 and 4,486.63

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Solution

The fourth proportional to 6,873.85, 9,483.23 and 4,486.63 is: 6,189.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,873.85 : 9,483.23 = 4,486.63 : x
  2. Step 2: Convert to fraction form
    6,873.85/9,483.23 = 4,486.63/x
  3. Step 3: Cross multiply
    6,873.85x = 9,483.23 × 4,486.63
  4. Step 4: Simplify right side
    6,873.85x = 42,547,744.21
  5. Step 5: Solve for x
    x = 42,547,744.21/6,873.85
  6. Step 6: Final answer
    x = 6,189.80

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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.