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Finding the Fourth Proportional to 9,389.00, 14,082.59 and 2,463.50

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Solution

The fourth proportional to 9,389.00, 14,082.59 and 2,463.50 is: 3,695.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,389.00 : 14,082.59 = 2,463.50 : x
  2. Step 2: Convert to fraction form
    9,389.00/14,082.59 = 2,463.50/x
  3. Step 3: Cross multiply
    9,389.00x = 14,082.59 × 2,463.50
  4. Step 4: Simplify right side
    9,389.00x = 34,692,492.59
  5. Step 5: Solve for x
    x = 34,692,492.59/9,389.00
  6. Step 6: Final answer
    x = 3,695.01

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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.