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Finding the Fourth Proportional to 9,520.05, 14,280.09 and 2,946.09

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Solution

The fourth proportional to 9,520.05, 14,280.09 and 2,946.09 is: 4,419.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,520.05 : 14,280.09 = 2,946.09 : x
  2. Step 2: Convert to fraction form
    9,520.05/14,280.09 = 2,946.09/x
  3. Step 3: Cross multiply
    9,520.05x = 14,280.09 × 2,946.09
  4. Step 4: Simplify right side
    9,520.05x = 42,070,430.35
  5. Step 5: Solve for x
    x = 42,070,430.35/9,520.05
  6. Step 6: Final answer
    x = 4,419.14

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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.