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Finding the Fourth Proportional to 9,084.66, 12,534.93 and 5,356.50

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Solution

The fourth proportional to 9,084.66, 12,534.93 and 5,356.50 is: 7,390.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,084.66 : 12,534.93 = 5,356.50 : x
  2. Step 2: Convert to fraction form
    9,084.66/12,534.93 = 5,356.50/x
  3. Step 3: Cross multiply
    9,084.66x = 12,534.93 × 5,356.50
  4. Step 4: Simplify right side
    9,084.66x = 67,143,352.55
  5. Step 5: Solve for x
    x = 67,143,352.55/9,084.66
  6. Step 6: Final answer
    x = 7,390.85

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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.