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Finding the Fourth Proportional to 9,461.29, 13,056.41 and 5,482.77

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Solution

The fourth proportional to 9,461.29, 13,056.41 and 5,482.77 is: 7,566.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,461.29 : 13,056.41 = 5,482.77 : x
  2. Step 2: Convert to fraction form
    9,461.29/13,056.41 = 5,482.77/x
  3. Step 3: Cross multiply
    9,461.29x = 13,056.41 × 5,482.77
  4. Step 4: Simplify right side
    9,461.29x = 71,585,331.24
  5. Step 5: Solve for x
    x = 71,585,331.24/9,461.29
  6. Step 6: Final answer
    x = 7,566.13

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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.