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Finding the Fourth Proportional to 9,946, 14,922.56 and 4,398.64

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Solution

The fourth proportional to 9,946, 14,922.56 and 4,398.64 is: 6,599.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,946 : 14,922.56 = 4,398.64 : x
  2. Step 2: Convert to fraction form
    9,946/14,922.56 = 4,398.64/x
  3. Step 3: Cross multiply
    9,946x = 14,922.56 × 4,398.64
  4. Step 4: Simplify right side
    9,946x = 65,638,969.32
  5. Step 5: Solve for x
    x = 65,638,969.32/9,946
  6. Step 6: Final answer
    x = 6,599.53

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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.