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Finding the Fourth Proportional to 9,146.76, 12,626.46 and 6,596.52

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Solution

The fourth proportional to 9,146.76, 12,626.46 and 6,596.52 is: 9,106.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,146.76 : 12,626.46 = 6,596.52 : x
  2. Step 2: Convert to fraction form
    9,146.76/12,626.46 = 6,596.52/x
  3. Step 3: Cross multiply
    9,146.76x = 12,626.46 × 6,596.52
  4. Step 4: Simplify right side
    9,146.76x = 83,290,695.92
  5. Step 5: Solve for x
    x = 83,290,695.92/9,146.76
  6. Step 6: Final answer
    x = 9,106.03

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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.