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Finding the Fourth Proportional to 9,646.51, 14,491.95 and 6,842.28

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Solution

The fourth proportional to 9,646.51, 14,491.95 and 6,842.28 is: 10,279.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,646.51 : 14,491.95 = 6,842.28 : x
  2. Step 2: Convert to fraction form
    9,646.51/14,491.95 = 6,842.28/x
  3. Step 3: Cross multiply
    9,646.51x = 14,491.95 × 6,842.28
  4. Step 4: Simplify right side
    9,646.51x = 99,157,942.94
  5. Step 5: Solve for x
    x = 99,157,942.94/9,646.51
  6. Step 6: Final answer
    x = 10,279.16

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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.