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Finding the Fourth Proportional to 9,572.16, 14,347.61 and 4,023.87

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Solution

The fourth proportional to 9,572.16, 14,347.61 and 4,023.87 is: 6,031.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,572.16 : 14,347.61 = 4,023.87 : x
  2. Step 2: Convert to fraction form
    9,572.16/14,347.61 = 4,023.87/x
  3. Step 3: Cross multiply
    9,572.16x = 14,347.61 × 4,023.87
  4. Step 4: Simplify right side
    9,572.16x = 57,732,917.45
  5. Step 5: Solve for x
    x = 57,732,917.45/9,572.16
  6. Step 6: Final answer
    x = 6,031.34

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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.