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Finding the Fourth Proportional to 9,802.96, 14,705.52 and 2,878

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Solution

The fourth proportional to 9,802.96, 14,705.52 and 2,878 is: 4,317.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,802.96 : 14,705.52 = 2,878 : x
  2. Step 2: Convert to fraction form
    9,802.96/14,705.52 = 2,878/x
  3. Step 3: Cross multiply
    9,802.96x = 14,705.52 × 2,878
  4. Step 4: Simplify right side
    9,802.96x = 42,322,486.56
  5. Step 5: Solve for x
    x = 42,322,486.56/9,802.96
  6. Step 6: Final answer
    x = 4,317.32

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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.