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Finding the Fourth Proportional to 9,894.40, 14,840.00 and 3,657.35

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Solution

The fourth proportional to 9,894.40, 14,840.00 and 3,657.35 is: 5,485.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,894.40 : 14,840.00 = 3,657.35 : x
  2. Step 2: Convert to fraction form
    9,894.40/14,840.00 = 3,657.35/x
  3. Step 3: Cross multiply
    9,894.40x = 14,840.00 × 3,657.35
  4. Step 4: Simplify right side
    9,894.40x = 54,275,055.71
  5. Step 5: Solve for x
    x = 54,275,055.71/9,894.40
  6. Step 6: Final answer
    x = 5,485.43

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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.