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Finding the Fourth Proportional to 9,567.51, 13,197.92 and 6,111.62

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Solution

The fourth proportional to 9,567.51, 13,197.92 and 6,111.62 is: 8,430.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,567.51 : 13,197.92 = 6,111.62 : x
  2. Step 2: Convert to fraction form
    9,567.51/13,197.92 = 6,111.62/x
  3. Step 3: Cross multiply
    9,567.51x = 13,197.92 × 6,111.62
  4. Step 4: Simplify right side
    9,567.51x = 80,660,624.77
  5. Step 5: Solve for x
    x = 80,660,624.77/9,567.51
  6. Step 6: Final answer
    x = 8,430.68

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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.