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Finding the Fourth Proportional to 9,664.15, 14,498.04 and 3,088.57

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Solution

The fourth proportional to 9,664.15, 14,498.04 and 3,088.57 is: 4,633.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,664.15 : 14,498.04 = 3,088.57 : x
  2. Step 2: Convert to fraction form
    9,664.15/14,498.04 = 3,088.57/x
  3. Step 3: Cross multiply
    9,664.15x = 14,498.04 × 3,088.57
  4. Step 4: Simplify right side
    9,664.15x = 44,778,138.91
  5. Step 5: Solve for x
    x = 44,778,138.91/9,664.15
  6. Step 6: Final answer
    x = 4,633.43

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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.