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Finding the Fourth Proportional to 9,733.44, 14,570.08 and 7,869.12

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Solution

The fourth proportional to 9,733.44, 14,570.08 and 7,869.12 is: 11,779.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,733.44 : 14,570.08 = 7,869.12 : x
  2. Step 2: Convert to fraction form
    9,733.44/14,570.08 = 7,869.12/x
  3. Step 3: Cross multiply
    9,733.44x = 14,570.08 × 7,869.12
  4. Step 4: Simplify right side
    9,733.44x = 114,653,707.93
  5. Step 5: Solve for x
    x = 114,653,707.93/9,733.44
  6. Step 6: Final answer
    x = 11,779.36

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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.