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Finding the Fourth Proportional to 9,664.40, 14,498.66 and 3,000.75

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Solution

The fourth proportional to 9,664.40, 14,498.66 and 3,000.75 is: 4,501.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,664.40 : 14,498.66 = 3,000.75 : x
  2. Step 2: Convert to fraction form
    9,664.40/14,498.66 = 3,000.75/x
  3. Step 3: Cross multiply
    9,664.40x = 14,498.66 × 3,000.75
  4. Step 4: Simplify right side
    9,664.40x = 43,506,766.50
  5. Step 5: Solve for x
    x = 43,506,766.50/9,664.40
  6. Step 6: Final answer
    x = 4,501.76

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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.