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Finding the Fourth Proportional to 9,143.58, 13,705.02 and 3,875.31

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Solution

The fourth proportional to 9,143.58, 13,705.02 and 3,875.31 is: 5,808.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,143.58 : 13,705.02 = 3,875.31 : x
  2. Step 2: Convert to fraction form
    9,143.58/13,705.02 = 3,875.31/x
  3. Step 3: Cross multiply
    9,143.58x = 13,705.02 × 3,875.31
  4. Step 4: Simplify right side
    9,143.58x = 53,111,201.06
  5. Step 5: Solve for x
    x = 53,111,201.06/9,143.58
  6. Step 6: Final answer
    x = 5,808.58

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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.