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Finding the Fourth Proportional to 9,543.45, 14,302.86 and 4,274.61

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Solution

The fourth proportional to 9,543.45, 14,302.86 and 4,274.61 is: 6,406.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,543.45 : 14,302.86 = 4,274.61 : x
  2. Step 2: Convert to fraction form
    9,543.45/14,302.86 = 4,274.61/x
  3. Step 3: Cross multiply
    9,543.45x = 14,302.86 × 4,274.61
  4. Step 4: Simplify right side
    9,543.45x = 61,139,148.38
  5. Step 5: Solve for x
    x = 61,139,148.38/9,543.45
  6. Step 6: Final answer
    x = 6,406.40

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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.