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Finding the Fourth Proportional to 9,532.95, 14,299.21 and 2,607.45

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Solution

The fourth proportional to 9,532.95, 14,299.21 and 2,607.45 is: 3,911.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,532.95 : 14,299.21 = 2,607.45 : x
  2. Step 2: Convert to fraction form
    9,532.95/14,299.21 = 2,607.45/x
  3. Step 3: Cross multiply
    9,532.95x = 14,299.21 × 2,607.45
  4. Step 4: Simplify right side
    9,532.95x = 37,284,475.11
  5. Step 5: Solve for x
    x = 37,284,475.11/9,532.95
  6. Step 6: Final answer
    x = 3,911.12

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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.