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Finding the Fourth Proportional to 7,021.14, 9,690.69 and 4,788.35

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Solution

The fourth proportional to 7,021.14, 9,690.69 and 4,788.35 is: 6,608.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,021.14 : 9,690.69 = 4,788.35 : x
  2. Step 2: Convert to fraction form
    7,021.14/9,690.69 = 4,788.35/x
  3. Step 3: Cross multiply
    7,021.14x = 9,690.69 × 4,788.35
  4. Step 4: Simplify right side
    7,021.14x = 46,402,367.01
  5. Step 5: Solve for x
    x = 46,402,367.01/7,021.14
  6. Step 6: Final answer
    x = 6,608.95

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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.