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Finding the Fourth Proportional to 7,030.22, 9,709.67 and 4,788.20

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Solution

The fourth proportional to 7,030.22, 9,709.67 and 4,788.20 is: 6,613.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,030.22 : 9,709.67 = 4,788.20 : x
  2. Step 2: Convert to fraction form
    7,030.22/9,709.67 = 4,788.20/x
  3. Step 3: Cross multiply
    7,030.22x = 9,709.67 × 4,788.20
  4. Step 4: Simplify right side
    7,030.22x = 46,491,878.14
  5. Step 5: Solve for x
    x = 46,491,878.14/7,030.22
  6. Step 6: Final answer
    x = 6,613.15

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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.