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Finding the Fourth Proportional to 9,357.32, 14,034.06 and 3,513.80

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Solution

The fourth proportional to 9,357.32, 14,034.06 and 3,513.80 is: 5,269.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,357.32 : 14,034.06 = 3,513.80 : x
  2. Step 2: Convert to fraction form
    9,357.32/14,034.06 = 3,513.80/x
  3. Step 3: Cross multiply
    9,357.32x = 14,034.06 × 3,513.80
  4. Step 4: Simplify right side
    9,357.32x = 49,312,880.03
  5. Step 5: Solve for x
    x = 49,312,880.03/9,357.32
  6. Step 6: Final answer
    x = 5,269.98

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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.