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Finding the Fourth Proportional to 9,580.60, 14,352.22 and 5,407.99

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Solution

The fourth proportional to 9,580.60, 14,352.22 and 5,407.99 is: 8,101.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,580.60 : 14,352.22 = 5,407.99 : x
  2. Step 2: Convert to fraction form
    9,580.60/14,352.22 = 5,407.99/x
  3. Step 3: Cross multiply
    9,580.60x = 14,352.22 × 5,407.99
  4. Step 4: Simplify right side
    9,580.60x = 77,616,662.24
  5. Step 5: Solve for x
    x = 77,616,662.24/9,580.60
  6. Step 6: Final answer
    x = 8,101.44

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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.