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Finding the Fourth Proportional to 9,948, 13,728.24 and 5,756.52

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Solution

The fourth proportional to 9,948, 13,728.24 and 5,756.52 is: 7,944.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,948 : 13,728.24 = 5,756.52 : x
  2. Step 2: Convert to fraction form
    9,948/13,728.24 = 5,756.52/x
  3. Step 3: Cross multiply
    9,948x = 13,728.24 × 5,756.52
  4. Step 4: Simplify right side
    9,948x = 79,026,888.12
  5. Step 5: Solve for x
    x = 79,026,888.12/9,948
  6. Step 6: Final answer
    x = 7,944.00

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.