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Finding the Fourth Proportional to 9,842.51, 14,769.54 and 4,296.65

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Solution

The fourth proportional to 9,842.51, 14,769.54 and 4,296.65 is: 6,447.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,842.51 : 14,769.54 = 4,296.65 : x
  2. Step 2: Convert to fraction form
    9,842.51/14,769.54 = 4,296.65/x
  3. Step 3: Cross multiply
    9,842.51x = 14,769.54 × 4,296.65
  4. Step 4: Simplify right side
    9,842.51x = 63,459,470.19
  5. Step 5: Solve for x
    x = 63,459,470.19/9,842.51
  6. Step 6: Final answer
    x = 6,447.49

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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.