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Finding the Fourth Proportional to 9,837.84, 14,742.36 and 7,762.92

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Solution

The fourth proportional to 9,837.84, 14,742.36 and 7,762.92 is: 11,633.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,837.84 : 14,742.36 = 7,762.92 : x
  2. Step 2: Convert to fraction form
    9,837.84/14,742.36 = 7,762.92/x
  3. Step 3: Cross multiply
    9,837.84x = 14,742.36 × 7,762.92
  4. Step 4: Simplify right side
    9,837.84x = 114,443,761.29
  5. Step 5: Solve for x
    x = 114,443,761.29/9,837.84
  6. Step 6: Final answer
    x = 11,633.02

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.