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Finding the Fourth Proportional to 9,038.91, 13,555.20 and 4,294.50

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Solution

The fourth proportional to 9,038.91, 13,555.20 and 4,294.50 is: 6,440.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,038.91 : 13,555.20 = 4,294.50 : x
  2. Step 2: Convert to fraction form
    9,038.91/13,555.20 = 4,294.50/x
  3. Step 3: Cross multiply
    9,038.91x = 13,555.20 × 4,294.50
  4. Step 4: Simplify right side
    9,038.91x = 58,212,806.40
  5. Step 5: Solve for x
    x = 58,212,806.40/9,038.91
  6. Step 6: Final answer
    x = 6,440.25

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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.