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Finding the Fourth Proportional to 9,246.25, 12,758.93 and 5,470.84

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Solution

The fourth proportional to 9,246.25, 12,758.93 and 5,470.84 is: 7,549.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,246.25 : 12,758.93 = 5,470.84 : x
  2. Step 2: Convert to fraction form
    9,246.25/12,758.93 = 5,470.84/x
  3. Step 3: Cross multiply
    9,246.25x = 12,758.93 × 5,470.84
  4. Step 4: Simplify right side
    9,246.25x = 69,802,000.81
  5. Step 5: Solve for x
    x = 69,802,000.81/9,246.25
  6. Step 6: Final answer
    x = 7,549.23

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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.