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Finding the Fourth Proportional to 9,755.40, 14,641.60 and 8,647.32

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Solution

The fourth proportional to 9,755.40, 14,641.60 and 8,647.32 is: 12,978.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,755.40 : 14,641.60 = 8,647.32 : x
  2. Step 2: Convert to fraction form
    9,755.40/14,641.60 = 8,647.32/x
  3. Step 3: Cross multiply
    9,755.40x = 14,641.60 × 8,647.32
  4. Step 4: Simplify right side
    9,755.40x = 126,610,600.51
  5. Step 5: Solve for x
    x = 126,610,600.51/9,755.40
  6. Step 6: Final answer
    x = 12,978.51

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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.