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Finding the Fourth Proportional to 9,292.08, 12,823.20 and 5,100.42

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Solution

The fourth proportional to 9,292.08, 12,823.20 and 5,100.42 is: 7,038.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,292.08 : 12,823.20 = 5,100.42 : x
  2. Step 2: Convert to fraction form
    9,292.08/12,823.20 = 5,100.42/x
  3. Step 3: Cross multiply
    9,292.08x = 12,823.20 × 5,100.42
  4. Step 4: Simplify right side
    9,292.08x = 65,403,705.74
  5. Step 5: Solve for x
    x = 65,403,705.74/9,292.08
  6. Step 6: Final answer
    x = 7,038.65

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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.