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Finding the Fourth Proportional to 9,567.55, 14,352 and 3,326.77

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Solution

The fourth proportional to 9,567.55, 14,352 and 3,326.77 is: 4,990.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,567.55 : 14,352 = 3,326.77 : x
  2. Step 2: Convert to fraction form
    9,567.55/14,352 = 3,326.77/x
  3. Step 3: Cross multiply
    9,567.55x = 14,352 × 3,326.77
  4. Step 4: Simplify right side
    9,567.55x = 47,745,803.04
  5. Step 5: Solve for x
    x = 47,745,803.04/9,567.55
  6. Step 6: Final answer
    x = 4,990.39

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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.