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Finding the Fourth Proportional to 9,292.40, 12,823.24 and 6,143.12

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Solution

The fourth proportional to 9,292.40, 12,823.24 and 6,143.12 is: 8,477.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,292.40 : 12,823.24 = 6,143.12 : x
  2. Step 2: Convert to fraction form
    9,292.40/12,823.24 = 6,143.12/x
  3. Step 3: Cross multiply
    9,292.40x = 12,823.24 × 6,143.12
  4. Step 4: Simplify right side
    9,292.40x = 78,774,702.11
  5. Step 5: Solve for x
    x = 78,774,702.11/9,292.40
  6. Step 6: Final answer
    x = 8,477.33

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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.