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Finding the Fourth Proportional to 7,116.37, 9,820.04 and 4,132.43

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Solution

The fourth proportional to 7,116.37, 9,820.04 and 4,132.43 is: 5,702.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,116.37 : 9,820.04 = 4,132.43 : x
  2. Step 2: Convert to fraction form
    7,116.37/9,820.04 = 4,132.43/x
  3. Step 3: Cross multiply
    7,116.37x = 9,820.04 × 4,132.43
  4. Step 4: Simplify right side
    7,116.37x = 40,580,570.41
  5. Step 5: Solve for x
    x = 40,580,570.41/7,116.37
  6. Step 6: Final answer
    x = 5,702.43

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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.