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Finding the Fourth Proportional to 9,012.58, 12,433.50 and 5,653.10

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Solution

The fourth proportional to 9,012.58, 12,433.50 and 5,653.10 is: 7,798.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,012.58 : 12,433.50 = 5,653.10 : x
  2. Step 2: Convert to fraction form
    9,012.58/12,433.50 = 5,653.10/x
  3. Step 3: Cross multiply
    9,012.58x = 12,433.50 × 5,653.10
  4. Step 4: Simplify right side
    9,012.58x = 70,287,818.85
  5. Step 5: Solve for x
    x = 70,287,818.85/9,012.58
  6. Step 6: Final answer
    x = 7,798.86

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.