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Finding the Fourth Proportional to 9,567.39, 14,355.86 and 6,406.95

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Solution

The fourth proportional to 9,567.39, 14,355.86 and 6,406.95 is: 9,613.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,567.39 : 14,355.86 = 6,406.95 : x
  2. Step 2: Convert to fraction form
    9,567.39/14,355.86 = 6,406.95/x
  3. Step 3: Cross multiply
    9,567.39x = 14,355.86 × 6,406.95
  4. Step 4: Simplify right side
    9,567.39x = 91,977,277.23
  5. Step 5: Solve for x
    x = 91,977,277.23/9,567.39
  6. Step 6: Final answer
    x = 9,613.62

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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.