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Finding the Fourth Proportional to 9,526.90, 14,295.99 and 4,601.62

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Solution

The fourth proportional to 9,526.90, 14,295.99 and 4,601.62 is: 6,905.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,526.90 : 14,295.99 = 4,601.62 : x
  2. Step 2: Convert to fraction form
    9,526.90/14,295.99 = 4,601.62/x
  3. Step 3: Cross multiply
    9,526.90x = 14,295.99 × 4,601.62
  4. Step 4: Simplify right side
    9,526.90x = 65,784,713.50
  5. Step 5: Solve for x
    x = 65,784,713.50/9,526.90
  6. Step 6: Final answer
    x = 6,905.15

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Why These Related Problems?

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