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Finding the Fourth Proportional to 9,094.44, 12,495.93 and 7,228.20

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Solution

The fourth proportional to 9,094.44, 12,495.93 and 7,228.20 is: 9,931.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,094.44 : 12,495.93 = 7,228.20 : x
  2. Step 2: Convert to fraction form
    9,094.44/12,495.93 = 7,228.20/x
  3. Step 3: Cross multiply
    9,094.44x = 12,495.93 × 7,228.20
  4. Step 4: Simplify right side
    9,094.44x = 90,323,081.23
  5. Step 5: Solve for x
    x = 90,323,081.23/9,094.44
  6. Step 6: Final answer
    x = 9,931.68

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.