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Finding the Fourth Proportional to 9,721.96, 13,421.08 and 7,434.52

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Solution

The fourth proportional to 9,721.96, 13,421.08 and 7,434.52 is: 10,263.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,721.96 : 13,421.08 = 7,434.52 : x
  2. Step 2: Convert to fraction form
    9,721.96/13,421.08 = 7,434.52/x
  3. Step 3: Cross multiply
    9,721.96x = 13,421.08 × 7,434.52
  4. Step 4: Simplify right side
    9,721.96x = 99,779,287.68
  5. Step 5: Solve for x
    x = 99,779,287.68/9,721.96
  6. Step 6: Final answer
    x = 10,263.29

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.