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Finding the Fourth Proportional to 9,662.00, 14,492.70 and 3,088.58

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Solution

The fourth proportional to 9,662.00, 14,492.70 and 3,088.58 is: 4,632.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,662.00 : 14,492.70 = 3,088.58 : x
  2. Step 2: Convert to fraction form
    9,662.00/14,492.70 = 3,088.58/x
  3. Step 3: Cross multiply
    9,662.00x = 14,492.70 × 3,088.58
  4. Step 4: Simplify right side
    9,662.00x = 44,761,790.90
  5. Step 5: Solve for x
    x = 44,761,790.90/9,662.00
  6. Step 6: Final answer
    x = 4,632.77

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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.