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Finding the Fourth Proportional to 6,146.88, 9,158.47 and 6,085.43

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Solution

The fourth proportional to 6,146.88, 9,158.47 and 6,085.43 is: 9,066.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,146.88 : 9,158.47 = 6,085.43 : x
  2. Step 2: Convert to fraction form
    6,146.88/9,158.47 = 6,085.43/x
  3. Step 3: Cross multiply
    6,146.88x = 9,158.47 × 6,085.43
  4. Step 4: Simplify right side
    6,146.88x = 55,733,228.09
  5. Step 5: Solve for x
    x = 55,733,228.09/6,146.88
  6. Step 6: Final answer
    x = 9,066.91

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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.