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Finding the Fourth Proportional to 9,356.80, 12,886.14 and 9,152.68

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Solution

The fourth proportional to 9,356.80, 12,886.14 and 9,152.68 is: 12,605.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,356.80 : 12,886.14 = 9,152.68 : x
  2. Step 2: Convert to fraction form
    9,356.80/12,886.14 = 9,152.68/x
  3. Step 3: Cross multiply
    9,356.80x = 12,886.14 × 9,152.68
  4. Step 4: Simplify right side
    9,356.80x = 117,942,715.86
  5. Step 5: Solve for x
    x = 117,942,715.86/9,356.80
  6. Step 6: Final answer
    x = 12,605.03

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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.