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Finding the Fourth Proportional to 9,506.37, 14,253.48 and 4,566.18

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Solution

The fourth proportional to 9,506.37, 14,253.48 and 4,566.18 is: 6,846.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,506.37 : 14,253.48 = 4,566.18 : x
  2. Step 2: Convert to fraction form
    9,506.37/14,253.48 = 4,566.18/x
  3. Step 3: Cross multiply
    9,506.37x = 14,253.48 × 4,566.18
  4. Step 4: Simplify right side
    9,506.37x = 65,083,955.31
  5. Step 5: Solve for x
    x = 65,083,955.31/9,506.37
  6. Step 6: Final answer
    x = 6,846.35

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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.