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Finding the Fourth Proportional to 9,309.90, 13,966.97 and 3,070.54

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Solution

The fourth proportional to 9,309.90, 13,966.97 and 3,070.54 is: 4,606.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,309.90 : 13,966.97 = 3,070.54 : x
  2. Step 2: Convert to fraction form
    9,309.90/13,966.97 = 3,070.54/x
  3. Step 3: Cross multiply
    9,309.90x = 13,966.97 × 3,070.54
  4. Step 4: Simplify right side
    9,309.90x = 42,886,142.17
  5. Step 5: Solve for x
    x = 42,886,142.17/9,309.90
  6. Step 6: Final answer
    x = 4,606.51

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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.