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Finding the Fourth Proportional to 9,533.31, 14,304.06 and 4,606.64

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Solution

The fourth proportional to 9,533.31, 14,304.06 and 4,606.64 is: 6,911.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,533.31 : 14,304.06 = 4,606.64 : x
  2. Step 2: Convert to fraction form
    9,533.31/14,304.06 = 4,606.64/x
  3. Step 3: Cross multiply
    9,533.31x = 14,304.06 × 4,606.64
  4. Step 4: Simplify right side
    9,533.31x = 65,893,583.44
  5. Step 5: Solve for x
    x = 65,893,583.44/9,533.31
  6. Step 6: Final answer
    x = 6,911.93

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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.