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Finding the Fourth Proportional to 6,673.16, 9,206.94 and 4,656.52

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Solution

The fourth proportional to 6,673.16, 9,206.94 and 4,656.52 is: 6,424.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,673.16 : 9,206.94 = 4,656.52 : x
  2. Step 2: Convert to fraction form
    6,673.16/9,206.94 = 4,656.52/x
  3. Step 3: Cross multiply
    6,673.16x = 9,206.94 × 4,656.52
  4. Step 4: Simplify right side
    6,673.16x = 42,872,300.25
  5. Step 5: Solve for x
    x = 42,872,300.25/6,673.16
  6. Step 6: Final answer
    x = 6,424.59

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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.