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Finding the Fourth Proportional to 9,660.90, 14,492.48 and 3,419.60

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Solution

The fourth proportional to 9,660.90, 14,492.48 and 3,419.60 is: 5,129.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,660.90 : 14,492.48 = 3,419.60 : x
  2. Step 2: Convert to fraction form
    9,660.90/14,492.48 = 3,419.60/x
  3. Step 3: Cross multiply
    9,660.90x = 14,492.48 × 3,419.60
  4. Step 4: Simplify right side
    9,660.90x = 49,558,484.61
  5. Step 5: Solve for x
    x = 49,558,484.61/9,660.90
  6. Step 6: Final answer
    x = 5,129.80

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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.