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Finding the Fourth Proportional to 9,633.86, 14,455.26 and 4,088.51

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Solution

The fourth proportional to 9,633.86, 14,455.26 and 4,088.51 is: 6,134.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,633.86 : 14,455.26 = 4,088.51 : x
  2. Step 2: Convert to fraction form
    9,633.86/14,455.26 = 4,088.51/x
  3. Step 3: Cross multiply
    9,633.86x = 14,455.26 × 4,088.51
  4. Step 4: Simplify right side
    9,633.86x = 59,100,402.79
  5. Step 5: Solve for x
    x = 59,100,402.79/9,633.86
  6. Step 6: Final answer
    x = 6,134.66

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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.