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Finding the Fourth Proportional to 9,477.57, 13,069.35 and 6,289.74

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Solution

The fourth proportional to 9,477.57, 13,069.35 and 6,289.74 is: 8,673.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,477.57 : 13,069.35 = 6,289.74 : x
  2. Step 2: Convert to fraction form
    9,477.57/13,069.35 = 6,289.74/x
  3. Step 3: Cross multiply
    9,477.57x = 13,069.35 × 6,289.74
  4. Step 4: Simplify right side
    9,477.57x = 82,202,813.47
  5. Step 5: Solve for x
    x = 82,202,813.47/9,477.57
  6. Step 6: Final answer
    x = 8,673.41

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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.