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Finding the Fourth Proportional to 9,574.47, 14,361.69 and 3,001.16

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Solution

The fourth proportional to 9,574.47, 14,361.69 and 3,001.16 is: 4,501.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,574.47 : 14,361.69 = 3,001.16 : x
  2. Step 2: Convert to fraction form
    9,574.47/14,361.69 = 3,001.16/x
  3. Step 3: Cross multiply
    9,574.47x = 14,361.69 × 3,001.16
  4. Step 4: Simplify right side
    9,574.47x = 43,101,729.56
  5. Step 5: Solve for x
    x = 43,101,729.56/9,574.47
  6. Step 6: Final answer
    x = 4,501.74

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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.