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Finding the Fourth Proportional to 9,572.01, 14,358.71 and 2,552.00

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Solution

The fourth proportional to 9,572.01, 14,358.71 and 2,552.00 is: 3,828.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,572.01 : 14,358.71 = 2,552.00 : x
  2. Step 2: Convert to fraction form
    9,572.01/14,358.71 = 2,552.00/x
  3. Step 3: Cross multiply
    9,572.01x = 14,358.71 × 2,552.00
  4. Step 4: Simplify right side
    9,572.01x = 36,643,343.37
  5. Step 5: Solve for x
    x = 36,643,343.37/9,572.01
  6. Step 6: Final answer
    x = 3,828.18

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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.