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Finding the Fourth Proportional to 9,225.09, 12,730.95 and 5,137.02

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Solution

The fourth proportional to 9,225.09, 12,730.95 and 5,137.02 is: 7,089.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,225.09 : 12,730.95 = 5,137.02 : x
  2. Step 2: Convert to fraction form
    9,225.09/12,730.95 = 5,137.02/x
  3. Step 3: Cross multiply
    9,225.09x = 12,730.95 × 5,137.02
  4. Step 4: Simplify right side
    9,225.09x = 65,399,144.77
  5. Step 5: Solve for x
    x = 65,399,144.77/9,225.09
  6. Step 6: Final answer
    x = 7,089.27

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.