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Finding the Fourth Proportional to 9,575.46, 14,376.78 and 5,423.63

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Solution

The fourth proportional to 9,575.46, 14,376.78 and 5,423.63 is: 8,143.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,575.46 : 14,376.78 = 5,423.63 : x
  2. Step 2: Convert to fraction form
    9,575.46/14,376.78 = 5,423.63/x
  3. Step 3: Cross multiply
    9,575.46x = 14,376.78 × 5,423.63
  4. Step 4: Simplify right side
    9,575.46x = 77,974,263.43
  5. Step 5: Solve for x
    x = 77,974,263.43/9,575.46
  6. Step 6: Final answer
    x = 8,143.13

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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.