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Finding the Fourth Proportional to 9,567.48, 14,356.78 and 4,020.40

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Solution

The fourth proportional to 9,567.48, 14,356.78 and 4,020.40 is: 6,032.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,567.48 : 14,356.78 = 4,020.40 : x
  2. Step 2: Convert to fraction form
    9,567.48/14,356.78 = 4,020.40/x
  3. Step 3: Cross multiply
    9,567.48x = 14,356.78 × 4,020.40
  4. Step 4: Simplify right side
    9,567.48x = 57,719,998.31
  5. Step 5: Solve for x
    x = 57,719,998.31/9,567.48
  6. Step 6: Final answer
    x = 6,032.94

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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.