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Finding the Fourth Proportional to 9,461.12, 13,055.45 and 5,482.49

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Solution

The fourth proportional to 9,461.12, 13,055.45 and 5,482.49 is: 7,565.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,461.12 : 13,055.45 = 5,482.49 : x
  2. Step 2: Convert to fraction form
    9,461.12/13,055.45 = 5,482.49/x
  3. Step 3: Cross multiply
    9,461.12x = 13,055.45 × 5,482.49
  4. Step 4: Simplify right side
    9,461.12x = 71,576,281.38
  5. Step 5: Solve for x
    x = 71,576,281.38/9,461.12
  6. Step 6: Final answer
    x = 7,565.31

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Why These Related Problems?

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