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Finding the Fourth Proportional to 9,061.80, 12,506.38 and 5,082.16

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Solution

The fourth proportional to 9,061.80, 12,506.38 and 5,082.16 is: 7,014.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,061.80 : 12,506.38 = 5,082.16 : x
  2. Step 2: Convert to fraction form
    9,061.80/12,506.38 = 5,082.16/x
  3. Step 3: Cross multiply
    9,061.80x = 12,506.38 × 5,082.16
  4. Step 4: Simplify right side
    9,061.80x = 63,559,424.18
  5. Step 5: Solve for x
    x = 63,559,424.18/9,061.80
  6. Step 6: Final answer
    x = 7,014.00

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.