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Finding the Fourth Proportional to 7,127.58, 9,829.68 and 4,475.22

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Solution

The fourth proportional to 7,127.58, 9,829.68 and 4,475.22 is: 6,171.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,127.58 : 9,829.68 = 4,475.22 : x
  2. Step 2: Convert to fraction form
    7,127.58/9,829.68 = 4,475.22/x
  3. Step 3: Cross multiply
    7,127.58x = 9,829.68 × 4,475.22
  4. Step 4: Simplify right side
    7,127.58x = 43,989,980.53
  5. Step 5: Solve for x
    x = 43,989,980.53/7,127.58
  6. Step 6: Final answer
    x = 6,171.80

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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.