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Finding the Fourth Proportional to 9,767.04, 14,626.80 and 4,574.40

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Solution

The fourth proportional to 9,767.04, 14,626.80 and 4,574.40 is: 6,850.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,767.04 : 14,626.80 = 4,574.40 : x
  2. Step 2: Convert to fraction form
    9,767.04/14,626.80 = 4,574.40/x
  3. Step 3: Cross multiply
    9,767.04x = 14,626.80 × 4,574.40
  4. Step 4: Simplify right side
    9,767.04x = 66,908,833.92
  5. Step 5: Solve for x
    x = 66,908,833.92/9,767.04
  6. Step 6: Final answer
    x = 6,850.47

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.