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Finding the Fourth Proportional to 9,566.33, 14,342.88 and 4,877.24

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Solution

The fourth proportional to 9,566.33, 14,342.88 and 4,877.24 is: 7,312.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,566.33 : 14,342.88 = 4,877.24 : x
  2. Step 2: Convert to fraction form
    9,566.33/14,342.88 = 4,877.24/x
  3. Step 3: Cross multiply
    9,566.33x = 14,342.88 × 4,877.24
  4. Step 4: Simplify right side
    9,566.33x = 69,953,668.05
  5. Step 5: Solve for x
    x = 69,953,668.05/9,566.33
  6. Step 6: Final answer
    x = 7,312.49

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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.