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Finding the Fourth Proportional to 9,354.50, 14,038.89 and 3,437.00

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Solution

The fourth proportional to 9,354.50, 14,038.89 and 3,437.00 is: 5,158.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,354.50 : 14,038.89 = 3,437.00 : x
  2. Step 2: Convert to fraction form
    9,354.50/14,038.89 = 3,437.00/x
  3. Step 3: Cross multiply
    9,354.50x = 14,038.89 × 3,437.00
  4. Step 4: Simplify right side
    9,354.50x = 48,251,581.85
  5. Step 5: Solve for x
    x = 48,251,581.85/9,354.50
  6. Step 6: Final answer
    x = 5,158.12

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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.