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Finding the Fourth Proportional to 9,526, 14,280.76 and 6,743.92

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Solution

The fourth proportional to 9,526, 14,280.76 and 6,743.92 is: 10,110.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,526 : 14,280.76 = 6,743.92 : x
  2. Step 2: Convert to fraction form
    9,526/14,280.76 = 6,743.92/x
  3. Step 3: Cross multiply
    9,526x = 14,280.76 × 6,743.92
  4. Step 4: Simplify right side
    9,526x = 96,308,302.98
  5. Step 5: Solve for x
    x = 96,308,302.98/9,526
  6. Step 6: Final answer
    x = 10,110.05

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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.