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Finding the Fourth Proportional to 9,569.61, 14,358.51 and 5,190.21

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Solution

The fourth proportional to 9,569.61, 14,358.51 and 5,190.21 is: 7,787.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,569.61 : 14,358.51 = 5,190.21 : x
  2. Step 2: Convert to fraction form
    9,569.61/14,358.51 = 5,190.21/x
  3. Step 3: Cross multiply
    9,569.61x = 14,358.51 × 5,190.21
  4. Step 4: Simplify right side
    9,569.61x = 74,523,682.19
  5. Step 5: Solve for x
    x = 74,523,682.19/9,569.61
  6. Step 6: Final answer
    x = 7,787.54

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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.