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Finding the Fourth Proportional to 9,259.74, 12,783.69 and 6,392.95

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Solution

The fourth proportional to 9,259.74, 12,783.69 and 6,392.95 is: 8,825.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,259.74 : 12,783.69 = 6,392.95 : x
  2. Step 2: Convert to fraction form
    9,259.74/12,783.69 = 6,392.95/x
  3. Step 3: Cross multiply
    9,259.74x = 12,783.69 × 6,392.95
  4. Step 4: Simplify right side
    9,259.74x = 81,725,459.03
  5. Step 5: Solve for x
    x = 81,725,459.03/9,259.74
  6. Step 6: Final answer
    x = 8,825.89

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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.