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Finding the Fourth Proportional to 9,292.47, 12,823.86 and 5,259

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Solution

The fourth proportional to 9,292.47, 12,823.86 and 5,259 is: 7,257.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,292.47 : 12,823.86 = 5,259 : x
  2. Step 2: Convert to fraction form
    9,292.47/12,823.86 = 5,259/x
  3. Step 3: Cross multiply
    9,292.47x = 12,823.86 × 5,259
  4. Step 4: Simplify right side
    9,292.47x = 67,440,679.74
  5. Step 5: Solve for x
    x = 67,440,679.74/9,292.47
  6. Step 6: Final answer
    x = 7,257.56

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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.