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Finding the Fourth Proportional to 9,567.40, 14,355.86 and 6,406.96

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Solution

The fourth proportional to 9,567.40, 14,355.86 and 6,406.96 is: 9,613.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,567.40 : 14,355.86 = 6,406.96 : x
  2. Step 2: Convert to fraction form
    9,567.40/14,355.86 = 6,406.96/x
  3. Step 3: Cross multiply
    9,567.40x = 14,355.86 × 6,406.96
  4. Step 4: Simplify right side
    9,567.40x = 91,977,420.79
  5. Step 5: Solve for x
    x = 91,977,420.79/9,567.40
  6. Step 6: Final answer
    x = 9,613.63

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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.