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Finding the Fourth Proportional to 9,669.60, 14,502.06 and 4,470.48

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Solution

The fourth proportional to 9,669.60, 14,502.06 and 4,470.48 is: 6,704.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,669.60 : 14,502.06 = 4,470.48 : x
  2. Step 2: Convert to fraction form
    9,669.60/14,502.06 = 4,470.48/x
  3. Step 3: Cross multiply
    9,669.60x = 14,502.06 × 4,470.48
  4. Step 4: Simplify right side
    9,669.60x = 64,831,169.19
  5. Step 5: Solve for x
    x = 64,831,169.19/9,669.60
  6. Step 6: Final answer
    x = 6,704.64

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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.