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Finding the Fourth Proportional to 9,705.08, 14,561.96 and 5,087

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Solution

The fourth proportional to 9,705.08, 14,561.96 and 5,087 is: 7,632.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,705.08 : 14,561.96 = 5,087 : x
  2. Step 2: Convert to fraction form
    9,705.08/14,561.96 = 5,087/x
  3. Step 3: Cross multiply
    9,705.08x = 14,561.96 × 5,087
  4. Step 4: Simplify right side
    9,705.08x = 74,076,690.52
  5. Step 5: Solve for x
    x = 74,076,690.52/9,705.08
  6. Step 6: Final answer
    x = 7,632.77

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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.