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Finding the Fourth Proportional to 9,130.21, 12,596.74 and 7,209.93

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Solution

The fourth proportional to 9,130.21, 12,596.74 and 7,209.93 is: 9,947.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,130.21 : 12,596.74 = 7,209.93 : x
  2. Step 2: Convert to fraction form
    9,130.21/12,596.74 = 7,209.93/x
  3. Step 3: Cross multiply
    9,130.21x = 12,596.74 × 7,209.93
  4. Step 4: Simplify right side
    9,130.21x = 90,821,613.63
  5. Step 5: Solve for x
    x = 90,821,613.63/9,130.21
  6. Step 6: Final answer
    x = 9,947.37

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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.