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Finding the Fourth Proportional to 9,970.56, 13,751.19 and 7,278.75

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Solution

The fourth proportional to 9,970.56, 13,751.19 and 7,278.75 is: 10,038.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,970.56 : 13,751.19 = 7,278.75 : x
  2. Step 2: Convert to fraction form
    9,970.56/13,751.19 = 7,278.75/x
  3. Step 3: Cross multiply
    9,970.56x = 13,751.19 × 7,278.75
  4. Step 4: Simplify right side
    9,970.56x = 100,091,474.21
  5. Step 5: Solve for x
    x = 100,091,474.21/9,970.56
  6. Step 6: Final answer
    x = 10,038.70

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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.