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Finding the Fourth Proportional to 6,532.34, 9,009.69 and 4,541.90

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Solution

The fourth proportional to 6,532.34, 9,009.69 and 4,541.90 is: 6,264.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,532.34 : 9,009.69 = 4,541.90 : x
  2. Step 2: Convert to fraction form
    6,532.34/9,009.69 = 4,541.90/x
  3. Step 3: Cross multiply
    6,532.34x = 9,009.69 × 4,541.90
  4. Step 4: Simplify right side
    6,532.34x = 40,921,111.01
  5. Step 5: Solve for x
    x = 40,921,111.01/6,532.34
  6. Step 6: Final answer
    x = 6,264.39

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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.