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Finding the Fourth Proportional to 9,681.03, 14,518.31 and 3,105.65

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Solution

The fourth proportional to 9,681.03, 14,518.31 and 3,105.65 is: 4,657.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,681.03 : 14,518.31 = 3,105.65 : x
  2. Step 2: Convert to fraction form
    9,681.03/14,518.31 = 3,105.65/x
  3. Step 3: Cross multiply
    9,681.03x = 14,518.31 × 3,105.65
  4. Step 4: Simplify right side
    9,681.03x = 45,088,810.22
  5. Step 5: Solve for x
    x = 45,088,810.22/9,681.03
  6. Step 6: Final answer
    x = 4,657.44

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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.