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Finding the Fourth Proportional to 9,464.94, 14,178.69 and 7,374.87

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Solution

The fourth proportional to 9,464.94, 14,178.69 and 7,374.87 is: 11,047.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,464.94 : 14,178.69 = 7,374.87 : x
  2. Step 2: Convert to fraction form
    9,464.94/14,178.69 = 7,374.87/x
  3. Step 3: Cross multiply
    9,464.94x = 14,178.69 × 7,374.87
  4. Step 4: Simplify right side
    9,464.94x = 104,565,995.52
  5. Step 5: Solve for x
    x = 104,565,995.52/9,464.94
  6. Step 6: Final answer
    x = 11,047.72

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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.