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Finding the Fourth Proportional to 6,534.70, 9,021.62 and 4,303.06

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Solution

The fourth proportional to 6,534.70, 9,021.62 and 4,303.06 is: 5,940.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,534.70 : 9,021.62 = 4,303.06 : x
  2. Step 2: Convert to fraction form
    6,534.70/9,021.62 = 4,303.06/x
  3. Step 3: Cross multiply
    6,534.70x = 9,021.62 × 4,303.06
  4. Step 4: Simplify right side
    6,534.70x = 38,820,572.16
  5. Step 5: Solve for x
    x = 38,820,572.16/6,534.70
  6. Step 6: Final answer
    x = 5,940.68

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