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Finding the Fourth Proportional to 9,537.48, 14,309.31 and 4,607.67

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Solution

The fourth proportional to 9,537.48, 14,309.31 and 4,607.67 is: 6,913.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,537.48 : 14,309.31 = 4,607.67 : x
  2. Step 2: Convert to fraction form
    9,537.48/14,309.31 = 4,607.67/x
  3. Step 3: Cross multiply
    9,537.48x = 14,309.31 × 4,607.67
  4. Step 4: Simplify right side
    9,537.48x = 65,932,578.41
  5. Step 5: Solve for x
    x = 65,932,578.41/9,537.48
  6. Step 6: Final answer
    x = 6,913.00

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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.