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Finding the Fourth Proportional to 9,662.96, 14,492.59 and 4,396.68

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Solution

The fourth proportional to 9,662.96, 14,492.59 and 4,396.68 is: 6,594.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,662.96 : 14,492.59 = 4,396.68 : x
  2. Step 2: Convert to fraction form
    9,662.96/14,492.59 = 4,396.68/x
  3. Step 3: Cross multiply
    9,662.96x = 14,492.59 × 4,396.68
  4. Step 4: Simplify right side
    9,662.96x = 63,719,269.61
  5. Step 5: Solve for x
    x = 63,719,269.61/9,662.96
  6. Step 6: Final answer
    x = 6,594.18

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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.