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Finding the Fourth Proportional to 9,567.52, 14,336.14 and 7,381.60

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Solution

The fourth proportional to 9,567.52, 14,336.14 and 7,381.60 is: 11,060.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,567.52 : 14,336.14 = 7,381.60 : x
  2. Step 2: Convert to fraction form
    9,567.52/14,336.14 = 7,381.60/x
  3. Step 3: Cross multiply
    9,567.52x = 14,336.14 × 7,381.60
  4. Step 4: Simplify right side
    9,567.52x = 105,823,651.02
  5. Step 5: Solve for x
    x = 105,823,651.02/9,567.52
  6. Step 6: Final answer
    x = 11,060.72

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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.