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Finding the Fourth Proportional to 9,142.97, 12,605.69 and 6,152.45

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Solution

The fourth proportional to 9,142.97, 12,605.69 and 6,152.45 is: 8,482.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,142.97 : 12,605.69 = 6,152.45 : x
  2. Step 2: Convert to fraction form
    9,142.97/12,605.69 = 6,152.45/x
  3. Step 3: Cross multiply
    9,142.97x = 12,605.69 × 6,152.45
  4. Step 4: Simplify right side
    9,142.97x = 77,555,829.79
  5. Step 5: Solve for x
    x = 77,555,829.79/9,142.97
  6. Step 6: Final answer
    x = 8,482.57

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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.