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Finding the Fourth Proportional to 9,082.60, 13,623.90 and 4,701.40

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Solution

The fourth proportional to 9,082.60, 13,623.90 and 4,701.40 is: 7,052.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,082.60 : 13,623.90 = 4,701.40 : x
  2. Step 2: Convert to fraction form
    9,082.60/13,623.90 = 4,701.40/x
  3. Step 3: Cross multiply
    9,082.60x = 13,623.90 × 4,701.40
  4. Step 4: Simplify right side
    9,082.60x = 64,051,403.46
  5. Step 5: Solve for x
    x = 64,051,403.46/9,082.60
  6. Step 6: Final answer
    x = 7,052.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.