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Finding the Fourth Proportional to 6,432.04, 9,648.69 and 3,303.46

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Solution

The fourth proportional to 6,432.04, 9,648.69 and 3,303.46 is: 4,955.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,432.04 : 9,648.69 = 3,303.46 : x
  2. Step 2: Convert to fraction form
    6,432.04/9,648.69 = 3,303.46/x
  3. Step 3: Cross multiply
    6,432.04x = 9,648.69 × 3,303.46
  4. Step 4: Simplify right side
    6,432.04x = 31,874,061.47
  5. Step 5: Solve for x
    x = 31,874,061.47/6,432.04
  6. Step 6: Final answer
    x = 4,955.51

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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.