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Finding the Fourth Proportional to 6,460.25, 9,690.42 and 2,300.42

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Solution

The fourth proportional to 6,460.25, 9,690.42 and 2,300.42 is: 3,450.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,460.25 : 9,690.42 = 2,300.42 : x
  2. Step 2: Convert to fraction form
    6,460.25/9,690.42 = 2,300.42/x
  3. Step 3: Cross multiply
    6,460.25x = 9,690.42 × 2,300.42
  4. Step 4: Simplify right side
    6,460.25x = 22,292,051.58
  5. Step 5: Solve for x
    x = 22,292,051.58/6,460.25
  6. Step 6: Final answer
    x = 3,450.65

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.