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Finding the Fourth Proportional to 9,432.66, 13,017.60 and 5,183.94

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Solution

The fourth proportional to 9,432.66, 13,017.60 and 5,183.94 is: 7,154.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,432.66 : 13,017.60 = 5,183.94 : x
  2. Step 2: Convert to fraction form
    9,432.66/13,017.60 = 5,183.94/x
  3. Step 3: Cross multiply
    9,432.66x = 13,017.60 × 5,183.94
  4. Step 4: Simplify right side
    9,432.66x = 67,482,457.34
  5. Step 5: Solve for x
    x = 67,482,457.34/9,432.66
  6. Step 6: Final answer
    x = 7,154.13

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.