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Finding the Fourth Proportional to 9,038.83, 13,578.99 and 6,412.81

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Solution

The fourth proportional to 9,038.83, 13,578.99 and 6,412.81 is: 9,633.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,038.83 : 13,578.99 = 6,412.81 : x
  2. Step 2: Convert to fraction form
    9,038.83/13,578.99 = 6,412.81/x
  3. Step 3: Cross multiply
    9,038.83x = 13,578.99 × 6,412.81
  4. Step 4: Simplify right side
    9,038.83x = 87,079,482.86
  5. Step 5: Solve for x
    x = 87,079,482.86/9,038.83
  6. Step 6: Final answer
    x = 9,633.93

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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.