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Finding the Fourth Proportional to 6,823.95, 9,417.51 and 5,142.39

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Solution

The fourth proportional to 6,823.95, 9,417.51 and 5,142.39 is: 7,096.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,823.95 : 9,417.51 = 5,142.39 : x
  2. Step 2: Convert to fraction form
    6,823.95/9,417.51 = 5,142.39/x
  3. Step 3: Cross multiply
    6,823.95x = 9,417.51 × 5,142.39
  4. Step 4: Simplify right side
    6,823.95x = 48,428,509.25
  5. Step 5: Solve for x
    x = 48,428,509.25/6,823.95
  6. Step 6: Final answer
    x = 7,096.84

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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.