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Finding the Fourth Proportional to 9,766.61, 13,477.92 and 5,290.40

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Solution

The fourth proportional to 9,766.61, 13,477.92 and 5,290.40 is: 7,300.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,766.61 : 13,477.92 = 5,290.40 : x
  2. Step 2: Convert to fraction form
    9,766.61/13,477.92 = 5,290.40/x
  3. Step 3: Cross multiply
    9,766.61x = 13,477.92 × 5,290.40
  4. Step 4: Simplify right side
    9,766.61x = 71,303,520.58
  5. Step 5: Solve for x
    x = 71,303,520.58/9,766.61
  6. Step 6: Final answer
    x = 7,300.75

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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.