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Finding the Fourth Proportional to 9,543.29, 14,312.84 and 2,967.98

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Solution

The fourth proportional to 9,543.29, 14,312.84 and 2,967.98 is: 4,451.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,543.29 : 14,312.84 = 2,967.98 : x
  2. Step 2: Convert to fraction form
    9,543.29/14,312.84 = 2,967.98/x
  3. Step 3: Cross multiply
    9,543.29x = 14,312.84 × 2,967.98
  4. Step 4: Simplify right side
    9,543.29x = 42,480,136.46
  5. Step 5: Solve for x
    x = 42,480,136.46/9,543.29
  6. Step 6: Final answer
    x = 4,451.31

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.