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Finding the Fourth Proportional to 7,093.12, 9,788.64 and 4,109.20

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Solution

The fourth proportional to 7,093.12, 9,788.64 and 4,109.20 is: 5,670.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,093.12 : 9,788.64 = 4,109.20 : x
  2. Step 2: Convert to fraction form
    7,093.12/9,788.64 = 4,109.20/x
  3. Step 3: Cross multiply
    7,093.12x = 9,788.64 × 4,109.20
  4. Step 4: Simplify right side
    7,093.12x = 40,223,479.49
  5. Step 5: Solve for x
    x = 40,223,479.49/7,093.12
  6. Step 6: Final answer
    x = 5,670.77

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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.