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Finding the Fourth Proportional to 9,784.55, 14,678.96 and 3,210.49

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Solution

The fourth proportional to 9,784.55, 14,678.96 and 3,210.49 is: 4,816.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,784.55 : 14,678.96 = 3,210.49 : x
  2. Step 2: Convert to fraction form
    9,784.55/14,678.96 = 3,210.49/x
  3. Step 3: Cross multiply
    9,784.55x = 14,678.96 × 3,210.49
  4. Step 4: Simplify right side
    9,784.55x = 47,126,601.54
  5. Step 5: Solve for x
    x = 47,126,601.54/9,784.55
  6. Step 6: Final answer
    x = 4,816.43

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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.