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Finding the Fourth Proportional to 9,572, 14,359.08 and 5,409.68

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Solution

The fourth proportional to 9,572, 14,359.08 and 5,409.68 is: 8,115.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,572 : 14,359.08 = 5,409.68 : x
  2. Step 2: Convert to fraction form
    9,572/14,359.08 = 5,409.68/x
  3. Step 3: Cross multiply
    9,572x = 14,359.08 × 5,409.68
  4. Step 4: Simplify right side
    9,572x = 77,678,027.89
  5. Step 5: Solve for x
    x = 77,678,027.89/9,572
  6. Step 6: Final answer
    x = 8,115.13

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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.