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Finding the Fourth Proportional to 9,533.70, 14,299.02 and 2,606.58

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Solution

The fourth proportional to 9,533.70, 14,299.02 and 2,606.58 is: 3,909.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,533.70 : 14,299.02 = 2,606.58 : x
  2. Step 2: Convert to fraction form
    9,533.70/14,299.02 = 2,606.58/x
  3. Step 3: Cross multiply
    9,533.70x = 14,299.02 × 2,606.58
  4. Step 4: Simplify right side
    9,533.70x = 37,271,539.55
  5. Step 5: Solve for x
    x = 37,271,539.55/9,533.70
  6. Step 6: Final answer
    x = 3,909.45

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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.