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Finding the Fourth Proportional to 9,569.58, 14,354.38 and 5,214.72

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Solution

The fourth proportional to 9,569.58, 14,354.38 and 5,214.72 is: 7,822.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,569.58 : 14,354.38 = 5,214.72 : x
  2. Step 2: Convert to fraction form
    9,569.58/14,354.38 = 5,214.72/x
  3. Step 3: Cross multiply
    9,569.58x = 14,354.38 × 5,214.72
  4. Step 4: Simplify right side
    9,569.58x = 74,854,072.47
  5. Step 5: Solve for x
    x = 74,854,072.47/9,569.58
  6. Step 6: Final answer
    x = 7,822.09

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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.