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Finding the Fourth Proportional to 6,029.16, 9,002.70 and 5,320.46

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Solution

The fourth proportional to 6,029.16, 9,002.70 and 5,320.46 is: 7,944.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,029.16 : 9,002.70 = 5,320.46 : x
  2. Step 2: Convert to fraction form
    6,029.16/9,002.70 = 5,320.46/x
  3. Step 3: Cross multiply
    6,029.16x = 9,002.70 × 5,320.46
  4. Step 4: Simplify right side
    6,029.16x = 47,898,460.23
  5. Step 5: Solve for x
    x = 47,898,460.23/6,029.16
  6. Step 6: Final answer
    x = 7,944.47

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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.