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Finding the Fourth Proportional to 9,543.98, 14,312.50 and 3,302.27

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Solution

The fourth proportional to 9,543.98, 14,312.50 and 3,302.27 is: 4,952.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,543.98 : 14,312.50 = 3,302.27 : x
  2. Step 2: Convert to fraction form
    9,543.98/14,312.50 = 3,302.27/x
  3. Step 3: Cross multiply
    9,543.98x = 14,312.50 × 3,302.27
  4. Step 4: Simplify right side
    9,543.98x = 47,263,713.23
  5. Step 5: Solve for x
    x = 47,263,713.23/9,543.98
  6. Step 6: Final answer
    x = 4,952.20

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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.