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Finding the Fourth Proportional to 9,437.31, 14,145.03 and 4,232.25

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Solution

The fourth proportional to 9,437.31, 14,145.03 and 4,232.25 is: 6,343.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,437.31 : 14,145.03 = 4,232.25 : x
  2. Step 2: Convert to fraction form
    9,437.31/14,145.03 = 4,232.25/x
  3. Step 3: Cross multiply
    9,437.31x = 14,145.03 × 4,232.25
  4. Step 4: Simplify right side
    9,437.31x = 59,865,303.22
  5. Step 5: Solve for x
    x = 59,865,303.22/9,437.31
  6. Step 6: Final answer
    x = 6,343.47

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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.