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Finding the Fourth Proportional to 9,784.64, 14,672.08 and 3,210.08

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Solution

The fourth proportional to 9,784.64, 14,672.08 and 3,210.08 is: 4,813.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,784.64 : 14,672.08 = 3,210.08 : x
  2. Step 2: Convert to fraction form
    9,784.64/14,672.08 = 3,210.08/x
  3. Step 3: Cross multiply
    9,784.64x = 14,672.08 × 3,210.08
  4. Step 4: Simplify right side
    9,784.64x = 47,098,550.57
  5. Step 5: Solve for x
    x = 47,098,550.57/9,784.64
  6. Step 6: Final answer
    x = 4,813.52

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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.