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Finding the Fourth Proportional to 9,461.32, 13,057.40 and 5,482.46

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Solution

The fourth proportional to 9,461.32, 13,057.40 and 5,482.46 is: 7,566.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,461.32 : 13,057.40 = 5,482.46 : x
  2. Step 2: Convert to fraction form
    9,461.32/13,057.40 = 5,482.46/x
  3. Step 3: Cross multiply
    9,461.32x = 13,057.40 × 5,482.46
  4. Step 4: Simplify right side
    9,461.32x = 71,586,673.20
  5. Step 5: Solve for x
    x = 71,586,673.20/9,461.32
  6. Step 6: Final answer
    x = 7,566.25

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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.