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Finding the Fourth Proportional to 9,749.66, 14,624.49 and 4,559.18

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Solution

The fourth proportional to 9,749.66, 14,624.49 and 4,559.18 is: 6,838.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,749.66 : 14,624.49 = 4,559.18 : x
  2. Step 2: Convert to fraction form
    9,749.66/14,624.49 = 4,559.18/x
  3. Step 3: Cross multiply
    9,749.66x = 14,624.49 × 4,559.18
  4. Step 4: Simplify right side
    9,749.66x = 66,675,682.32
  5. Step 5: Solve for x
    x = 66,675,682.32/9,749.66
  6. Step 6: Final answer
    x = 6,838.77

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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.