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Finding the Fourth Proportional to 6,430.24, 9,646.95 and 4,576.75

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Solution

The fourth proportional to 6,430.24, 9,646.95 and 4,576.75 is: 6,866.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,430.24 : 9,646.95 = 4,576.75 : x
  2. Step 2: Convert to fraction form
    6,430.24/9,646.95 = 4,576.75/x
  3. Step 3: Cross multiply
    6,430.24x = 9,646.95 × 4,576.75
  4. Step 4: Simplify right side
    6,430.24x = 44,151,699.98
  5. Step 5: Solve for x
    x = 44,151,699.98/6,430.24
  6. Step 6: Final answer
    x = 6,866.26

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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.