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Finding the Fourth Proportional to 9,373.04, 14,061.88 and 3,530

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Solution

The fourth proportional to 9,373.04, 14,061.88 and 3,530 is: 5,295.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,373.04 : 14,061.88 = 3,530 : x
  2. Step 2: Convert to fraction form
    9,373.04/14,061.88 = 3,530/x
  3. Step 3: Cross multiply
    9,373.04x = 14,061.88 × 3,530
  4. Step 4: Simplify right side
    9,373.04x = 49,638,436.40
  5. Step 5: Solve for x
    x = 49,638,436.40/9,373.04
  6. Step 6: Final answer
    x = 5,295.87

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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.