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Finding the Fourth Proportional to 9,664.56, 14,485.77 and 4,459.50

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Solution

The fourth proportional to 9,664.56, 14,485.77 and 4,459.50 is: 6,684.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,664.56 : 14,485.77 = 4,459.50 : x
  2. Step 2: Convert to fraction form
    9,664.56/14,485.77 = 4,459.50/x
  3. Step 3: Cross multiply
    9,664.56x = 14,485.77 × 4,459.50
  4. Step 4: Simplify right side
    9,664.56x = 64,599,291.32
  5. Step 5: Solve for x
    x = 64,599,291.32/9,664.56
  6. Step 6: Final answer
    x = 6,684.14

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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.