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Finding the Fourth Proportional to 9,855.30, 13,605.34 and 7,612.14

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Solution

The fourth proportional to 9,855.30, 13,605.34 and 7,612.14 is: 10,508.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,855.30 : 13,605.34 = 7,612.14 : x
  2. Step 2: Convert to fraction form
    9,855.30/13,605.34 = 7,612.14/x
  3. Step 3: Cross multiply
    9,855.30x = 13,605.34 × 7,612.14
  4. Step 4: Simplify right side
    9,855.30x = 103,565,752.83
  5. Step 5: Solve for x
    x = 103,565,752.83/9,855.30
  6. Step 6: Final answer
    x = 10,508.64

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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.