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Finding the Fourth Proportional to 9,804.70, 14,706.65 and 2,784.68

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Solution

The fourth proportional to 9,804.70, 14,706.65 and 2,784.68 is: 4,176.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,804.70 : 14,706.65 = 2,784.68 : x
  2. Step 2: Convert to fraction form
    9,804.70/14,706.65 = 2,784.68/x
  3. Step 3: Cross multiply
    9,804.70x = 14,706.65 × 2,784.68
  4. Step 4: Simplify right side
    9,804.70x = 40,953,287.04
  5. Step 5: Solve for x
    x = 40,953,287.04/9,804.70
  6. Step 6: Final answer
    x = 4,176.91

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Why These Related Problems?

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