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Finding the Fourth Proportional to 6,985.54, 9,637.70 and 4,743.52

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Solution

The fourth proportional to 6,985.54, 9,637.70 and 4,743.52 is: 6,544.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,985.54 : 9,637.70 = 4,743.52 : x
  2. Step 2: Convert to fraction form
    6,985.54/9,637.70 = 4,743.52/x
  3. Step 3: Cross multiply
    6,985.54x = 9,637.70 × 4,743.52
  4. Step 4: Simplify right side
    6,985.54x = 45,716,649.33
  5. Step 5: Solve for x
    x = 45,716,649.33/6,985.54
  6. Step 6: Final answer
    x = 6,544.47

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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.