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Finding the Fourth Proportional to 9,503.34, 14,260.41 and 6,384.84

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Solution

The fourth proportional to 9,503.34, 14,260.41 and 6,384.84 is: 9,580.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,503.34 : 14,260.41 = 6,384.84 : x
  2. Step 2: Convert to fraction form
    9,503.34/14,260.41 = 6,384.84/x
  3. Step 3: Cross multiply
    9,503.34x = 14,260.41 × 6,384.84
  4. Step 4: Simplify right side
    9,503.34x = 91,050,436.18
  5. Step 5: Solve for x
    x = 91,050,436.18/9,503.34
  6. Step 6: Final answer
    x = 9,580.89

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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.