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Finding the Fourth Proportional to 9,654.72, 14,470.40 and 4,654.08

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Solution

The fourth proportional to 9,654.72, 14,470.40 and 4,654.08 is: 6,975.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,654.72 : 14,470.40 = 4,654.08 : x
  2. Step 2: Convert to fraction form
    9,654.72/14,470.40 = 4,654.08/x
  3. Step 3: Cross multiply
    9,654.72x = 14,470.40 × 4,654.08
  4. Step 4: Simplify right side
    9,654.72x = 67,346,399.23
  5. Step 5: Solve for x
    x = 67,346,399.23/9,654.72
  6. Step 6: Final answer
    x = 6,975.49

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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.