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Finding the Fourth Proportional to 9,264.89, 13,900.89 and 5,569.67

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Solution

The fourth proportional to 9,264.89, 13,900.89 and 5,569.67 is: 8,356.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,264.89 : 13,900.89 = 5,569.67 : x
  2. Step 2: Convert to fraction form
    9,264.89/13,900.89 = 5,569.67/x
  3. Step 3: Cross multiply
    9,264.89x = 13,900.89 × 5,569.67
  4. Step 4: Simplify right side
    9,264.89x = 77,423,300.50
  5. Step 5: Solve for x
    x = 77,423,300.50/9,264.89
  6. Step 6: Final answer
    x = 8,356.64

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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.