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Finding the Fourth Proportional to 9,477, 13,077.45 and 6,119.96

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Solution

The fourth proportional to 9,477, 13,077.45 and 6,119.96 is: 8,445.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,477 : 13,077.45 = 6,119.96 : x
  2. Step 2: Convert to fraction form
    9,477/13,077.45 = 6,119.96/x
  3. Step 3: Cross multiply
    9,477x = 13,077.45 × 6,119.96
  4. Step 4: Simplify right side
    9,477x = 80,033,405.51
  5. Step 5: Solve for x
    x = 80,033,405.51/9,477
  6. Step 6: Final answer
    x = 8,445.01

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.