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Finding the Fourth Proportional to 9,332.26, 12,878.67 and 5,140.51

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Solution

The fourth proportional to 9,332.26, 12,878.67 and 5,140.51 is: 7,093.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,332.26 : 12,878.67 = 5,140.51 : x
  2. Step 2: Convert to fraction form
    9,332.26/12,878.67 = 5,140.51/x
  3. Step 3: Cross multiply
    9,332.26x = 12,878.67 × 5,140.51
  4. Step 4: Simplify right side
    9,332.26x = 66,202,931.92
  5. Step 5: Solve for x
    x = 66,202,931.92/9,332.26
  6. Step 6: Final answer
    x = 7,093.99

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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.