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Finding the Fourth Proportional to 9,637.60, 14,460.54 and 4,094.68

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Solution

The fourth proportional to 9,637.60, 14,460.54 and 4,094.68 is: 6,143.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,637.60 : 14,460.54 = 4,094.68 : x
  2. Step 2: Convert to fraction form
    9,637.60/14,460.54 = 4,094.68/x
  3. Step 3: Cross multiply
    9,637.60x = 14,460.54 × 4,094.68
  4. Step 4: Simplify right side
    9,637.60x = 59,211,283.93
  5. Step 5: Solve for x
    x = 59,211,283.93/9,637.60
  6. Step 6: Final answer
    x = 6,143.78

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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.