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Finding the Fourth Proportional to 9,568.60, 14,328.60 and 9,131.20

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Solution

The fourth proportional to 9,568.60, 14,328.60 and 9,131.20 is: 13,673.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,568.60 : 14,328.60 = 9,131.20 : x
  2. Step 2: Convert to fraction form
    9,568.60/14,328.60 = 9,131.20/x
  3. Step 3: Cross multiply
    9,568.60x = 14,328.60 × 9,131.20
  4. Step 4: Simplify right side
    9,568.60x = 130,837,312.32
  5. Step 5: Solve for x
    x = 130,837,312.32/9,568.60
  6. Step 6: Final answer
    x = 13,673.61

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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.