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Finding the Fourth Proportional to 9,475.74, 13,077.18 and 5,283.99

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Solution

The fourth proportional to 9,475.74, 13,077.18 and 5,283.99 is: 7,292.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,475.74 : 13,077.18 = 5,283.99 : x
  2. Step 2: Convert to fraction form
    9,475.74/13,077.18 = 5,283.99/x
  3. Step 3: Cross multiply
    9,475.74x = 13,077.18 × 5,283.99
  4. Step 4: Simplify right side
    9,475.74x = 69,099,688.35
  5. Step 5: Solve for x
    x = 69,099,688.35/9,475.74
  6. Step 6: Final answer
    x = 7,292.27

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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.