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Finding the Fourth Proportional to 9,775.68, 14,667.63 and 3,112.74

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Solution

The fourth proportional to 9,775.68, 14,667.63 and 3,112.74 is: 4,670.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,775.68 : 14,667.63 = 3,112.74 : x
  2. Step 2: Convert to fraction form
    9,775.68/14,667.63 = 3,112.74/x
  3. Step 3: Cross multiply
    9,775.68x = 14,667.63 × 3,112.74
  4. Step 4: Simplify right side
    9,775.68x = 45,656,518.61
  5. Step 5: Solve for x
    x = 45,656,518.61/9,775.68
  6. Step 6: Final answer
    x = 4,670.42

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.