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Finding the Fourth Proportional to 9,572.59, 14,359.91 and 4,026.50

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Solution

The fourth proportional to 9,572.59, 14,359.91 and 4,026.50 is: 6,040.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,572.59 : 14,359.91 = 4,026.50 : x
  2. Step 2: Convert to fraction form
    9,572.59/14,359.91 = 4,026.50/x
  3. Step 3: Cross multiply
    9,572.59x = 14,359.91 × 4,026.50
  4. Step 4: Simplify right side
    9,572.59x = 57,820,085.68
  5. Step 5: Solve for x
    x = 57,820,085.68/9,572.59
  6. Step 6: Final answer
    x = 6,040.17

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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.