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Finding the Fourth Proportional to 9,082.42, 12,534.06 and 5,103.45

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Solution

The fourth proportional to 9,082.42, 12,534.06 and 5,103.45 is: 7,042.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,082.42 : 12,534.06 = 5,103.45 : x
  2. Step 2: Convert to fraction form
    9,082.42/12,534.06 = 5,103.45/x
  3. Step 3: Cross multiply
    9,082.42x = 12,534.06 × 5,103.45
  4. Step 4: Simplify right side
    9,082.42x = 63,966,948.51
  5. Step 5: Solve for x
    x = 63,966,948.51/9,082.42
  6. Step 6: Final answer
    x = 7,042.94

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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.