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Finding the Fourth Proportional to 9,332.25, 12,878.52 and 5,140.50

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Solution

The fourth proportional to 9,332.25, 12,878.52 and 5,140.50 is: 7,093.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,332.25 : 12,878.52 = 5,140.50 : x
  2. Step 2: Convert to fraction form
    9,332.25/12,878.52 = 5,140.50/x
  3. Step 3: Cross multiply
    9,332.25x = 12,878.52 × 5,140.50
  4. Step 4: Simplify right side
    9,332.25x = 66,202,032.06
  5. Step 5: Solve for x
    x = 66,202,032.06/9,332.25
  6. Step 6: Final answer
    x = 7,093.90

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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.