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Finding the Fourth Proportional to 9,567.72, 14,352.66 and 4,020.03

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Solution

The fourth proportional to 9,567.72, 14,352.66 and 4,020.03 is: 6,030.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,567.72 : 14,352.66 = 4,020.03 : x
  2. Step 2: Convert to fraction form
    9,567.72/14,352.66 = 4,020.03/x
  3. Step 3: Cross multiply
    9,567.72x = 14,352.66 × 4,020.03
  4. Step 4: Simplify right side
    9,567.72x = 57,698,123.78
  5. Step 5: Solve for x
    x = 57,698,123.78/9,567.72
  6. Step 6: Final answer
    x = 6,030.50

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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.