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Finding the Fourth Proportional to 9,624.65, 14,426.01 and 4,074.53

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Solution

The fourth proportional to 9,624.65, 14,426.01 and 4,074.53 is: 6,107.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,624.65 : 14,426.01 = 4,074.53 : x
  2. Step 2: Convert to fraction form
    9,624.65/14,426.01 = 4,074.53/x
  3. Step 3: Cross multiply
    9,624.65x = 14,426.01 × 4,074.53
  4. Step 4: Simplify right side
    9,624.65x = 58,779,138.40
  5. Step 5: Solve for x
    x = 58,779,138.40/9,624.65
  6. Step 6: Final answer
    x = 6,107.15

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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.