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Finding the Fourth Proportional to 9,624.83, 14,440.01 and 4,001.40

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Solution

The fourth proportional to 9,624.83, 14,440.01 and 4,001.40 is: 6,003.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,624.83 : 14,440.01 = 4,001.40 : x
  2. Step 2: Convert to fraction form
    9,624.83/14,440.01 = 4,001.40/x
  3. Step 3: Cross multiply
    9,624.83x = 14,440.01 × 4,001.40
  4. Step 4: Simplify right side
    9,624.83x = 57,780,236.01
  5. Step 5: Solve for x
    x = 57,780,236.01/9,624.83
  6. Step 6: Final answer
    x = 6,003.25

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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.