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Finding the Fourth Proportional to 9,541.87, 13,178.08 and 7,442.35

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Solution

The fourth proportional to 9,541.87, 13,178.08 and 7,442.35 is: 10,278.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,541.87 : 13,178.08 = 7,442.35 : x
  2. Step 2: Convert to fraction form
    9,541.87/13,178.08 = 7,442.35/x
  3. Step 3: Cross multiply
    9,541.87x = 13,178.08 × 7,442.35
  4. Step 4: Simplify right side
    9,541.87x = 98,075,883.69
  5. Step 5: Solve for x
    x = 98,075,883.69/9,541.87
  6. Step 6: Final answer
    x = 10,278.48

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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.