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Finding the Fourth Proportional to 9,838.08, 14,657.58 and 9,342.36

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Solution

The fourth proportional to 9,838.08, 14,657.58 and 9,342.36 is: 13,919.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,838.08 : 14,657.58 = 9,342.36 : x
  2. Step 2: Convert to fraction form
    9,838.08/14,657.58 = 9,342.36/x
  3. Step 3: Cross multiply
    9,838.08x = 14,657.58 × 9,342.36
  4. Step 4: Simplify right side
    9,838.08x = 136,936,389.09
  5. Step 5: Solve for x
    x = 136,936,389.09/9,838.08
  6. Step 6: Final answer
    x = 13,919.02

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.