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Finding the Fourth Proportional to 9,140.60, 12,596.74 and 6,618.44

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Solution

The fourth proportional to 9,140.60, 12,596.74 and 6,618.44 is: 9,120.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,140.60 : 12,596.74 = 6,618.44 : x
  2. Step 2: Convert to fraction form
    9,140.60/12,596.74 = 6,618.44/x
  3. Step 3: Cross multiply
    9,140.60x = 12,596.74 × 6,618.44
  4. Step 4: Simplify right side
    9,140.60x = 83,370,767.89
  5. Step 5: Solve for x
    x = 83,370,767.89/9,140.60
  6. Step 6: Final answer
    x = 9,120.93

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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.