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Finding the Fourth Proportional to 6,332.13, 9,433.19 and 6,047.82

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Solution

The fourth proportional to 6,332.13, 9,433.19 and 6,047.82 is: 9,009.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,332.13 : 9,433.19 = 6,047.82 : x
  2. Step 2: Convert to fraction form
    6,332.13/9,433.19 = 6,047.82/x
  3. Step 3: Cross multiply
    6,332.13x = 9,433.19 × 6,047.82
  4. Step 4: Simplify right side
    6,332.13x = 57,050,204.91
  5. Step 5: Solve for x
    x = 57,050,204.91/6,332.13
  6. Step 6: Final answer
    x = 9,009.64

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.