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Finding the Fourth Proportional to 9,532.30, 14,298.65 and 6,709.60

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Solution

The fourth proportional to 9,532.30, 14,298.65 and 6,709.60 is: 10,064.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,532.30 : 14,298.65 = 6,709.60 : x
  2. Step 2: Convert to fraction form
    9,532.30/14,298.65 = 6,709.60/x
  3. Step 3: Cross multiply
    9,532.30x = 14,298.65 × 6,709.60
  4. Step 4: Simplify right side
    9,532.30x = 95,938,150.55
  5. Step 5: Solve for x
    x = 95,938,150.55/9,532.30
  6. Step 6: Final answer
    x = 10,064.54

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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.