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Finding the Fourth Proportional to 9,588.96, 14,382.54 and 3,015

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Solution

The fourth proportional to 9,588.96, 14,382.54 and 3,015 is: 4,522.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,588.96 : 14,382.54 = 3,015 : x
  2. Step 2: Convert to fraction form
    9,588.96/14,382.54 = 3,015/x
  3. Step 3: Cross multiply
    9,588.96x = 14,382.54 × 3,015
  4. Step 4: Simplify right side
    9,588.96x = 43,363,358.10
  5. Step 5: Solve for x
    x = 43,363,358.10/9,588.96
  6. Step 6: Final answer
    x = 4,522.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.