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Finding the Fourth Proportional to 9,287.56, 13,931.48 and 3,048.06

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Solution

The fourth proportional to 9,287.56, 13,931.48 and 3,048.06 is: 4,572.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,287.56 : 13,931.48 = 3,048.06 : x
  2. Step 2: Convert to fraction form
    9,287.56/13,931.48 = 3,048.06/x
  3. Step 3: Cross multiply
    9,287.56x = 13,931.48 × 3,048.06
  4. Step 4: Simplify right side
    9,287.56x = 42,463,986.93
  5. Step 5: Solve for x
    x = 42,463,986.93/9,287.56
  6. Step 6: Final answer
    x = 4,572.14

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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.