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Finding the Fourth Proportional to 9,569.67, 14,341.14 and 4,638

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Solution

The fourth proportional to 9,569.67, 14,341.14 and 4,638 is: 6,950.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,569.67 : 14,341.14 = 4,638 : x
  2. Step 2: Convert to fraction form
    9,569.67/14,341.14 = 4,638/x
  3. Step 3: Cross multiply
    9,569.67x = 14,341.14 × 4,638
  4. Step 4: Simplify right side
    9,569.67x = 66,514,207.32
  5. Step 5: Solve for x
    x = 66,514,207.32/9,569.67
  6. Step 6: Final answer
    x = 6,950.52

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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.