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Finding the Fourth Proportional to 9,848.63, 14,775.38 and 2,923.13

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Solution

The fourth proportional to 9,848.63, 14,775.38 and 2,923.13 is: 4,385.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,848.63 : 14,775.38 = 2,923.13 : x
  2. Step 2: Convert to fraction form
    9,848.63/14,775.38 = 2,923.13/x
  3. Step 3: Cross multiply
    9,848.63x = 14,775.38 × 2,923.13
  4. Step 4: Simplify right side
    9,848.63x = 43,190,268.05
  5. Step 5: Solve for x
    x = 43,190,268.05/9,848.63
  6. Step 6: Final answer
    x = 4,385.41

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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.