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Finding the Fourth Proportional to 6,995.34, 9,652.44 and 4,010.63

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Solution

The fourth proportional to 6,995.34, 9,652.44 and 4,010.63 is: 5,534.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,995.34 : 9,652.44 = 4,010.63 : x
  2. Step 2: Convert to fraction form
    6,995.34/9,652.44 = 4,010.63/x
  3. Step 3: Cross multiply
    6,995.34x = 9,652.44 × 4,010.63
  4. Step 4: Simplify right side
    6,995.34x = 38,712,317.18
  5. Step 5: Solve for x
    x = 38,712,317.18/6,995.34
  6. Step 6: Final answer
    x = 5,534.02

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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.