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Finding the Fourth Proportional to 9,005.56, 12,432.21 and 5,653.24

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Solution

The fourth proportional to 9,005.56, 12,432.21 and 5,653.24 is: 7,804.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,005.56 : 12,432.21 = 5,653.24 : x
  2. Step 2: Convert to fraction form
    9,005.56/12,432.21 = 5,653.24/x
  3. Step 3: Cross multiply
    9,005.56x = 12,432.21 × 5,653.24
  4. Step 4: Simplify right side
    9,005.56x = 70,282,266.86
  5. Step 5: Solve for x
    x = 70,282,266.86/9,005.56
  6. Step 6: Final answer
    x = 7,804.32

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Why These Related Problems?

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