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Finding the Fourth Proportional to 9,130.69, 12,588.93 and 7,620.42

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Solution

The fourth proportional to 9,130.69, 12,588.93 and 7,620.42 is: 10,506.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,130.69 : 12,588.93 = 7,620.42 : x
  2. Step 2: Convert to fraction form
    9,130.69/12,588.93 = 7,620.42/x
  3. Step 3: Cross multiply
    9,130.69x = 12,588.93 × 7,620.42
  4. Step 4: Simplify right side
    9,130.69x = 95,932,933.95
  5. Step 5: Solve for x
    x = 95,932,933.95/9,130.69
  6. Step 6: Final answer
    x = 10,506.65

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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.