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Finding the Fourth Proportional to 6,294.02, 9,387.93 and 5,465.78

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Solution

The fourth proportional to 6,294.02, 9,387.93 and 5,465.78 is: 8,152.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,294.02 : 9,387.93 = 5,465.78 : x
  2. Step 2: Convert to fraction form
    6,294.02/9,387.93 = 5,465.78/x
  3. Step 3: Cross multiply
    6,294.02x = 9,387.93 × 5,465.78
  4. Step 4: Simplify right side
    6,294.02x = 51,312,360.04
  5. Step 5: Solve for x
    x = 51,312,360.04/6,294.02
  6. Step 6: Final answer
    x = 8,152.56

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.