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Finding the Fourth Proportional to 9,461.70, 13,056.57 and 5,482.12

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Solution

The fourth proportional to 9,461.70, 13,056.57 and 5,482.12 is: 7,564.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,461.70 : 13,056.57 = 5,482.12 : x
  2. Step 2: Convert to fraction form
    9,461.70/13,056.57 = 5,482.12/x
  3. Step 3: Cross multiply
    9,461.70x = 13,056.57 × 5,482.12
  4. Step 4: Simplify right side
    9,461.70x = 71,577,683.53
  5. Step 5: Solve for x
    x = 71,577,683.53/9,461.70
  6. Step 6: Final answer
    x = 7,564.99

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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.