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Finding the Fourth Proportional to 9,588.40, 14,382.59 and 3,015.16

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Solution

The fourth proportional to 9,588.40, 14,382.59 and 3,015.16 is: 4,522.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,588.40 : 14,382.59 = 3,015.16 : x
  2. Step 2: Convert to fraction form
    9,588.40/14,382.59 = 3,015.16/x
  3. Step 3: Cross multiply
    9,588.40x = 14,382.59 × 3,015.16
  4. Step 4: Simplify right side
    9,588.40x = 43,365,810.06
  5. Step 5: Solve for x
    x = 43,365,810.06/9,588.40
  6. Step 6: Final answer
    x = 4,522.74

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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.