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Finding the Fourth Proportional to 9,458.96, 13,055.70 and 5,482.46

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Solution

The fourth proportional to 9,458.96, 13,055.70 and 5,482.46 is: 7,567.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,458.96 : 13,055.70 = 5,482.46 : x
  2. Step 2: Convert to fraction form
    9,458.96/13,055.70 = 5,482.46/x
  3. Step 3: Cross multiply
    9,458.96x = 13,055.70 × 5,482.46
  4. Step 4: Simplify right side
    9,458.96x = 71,577,353.02
  5. Step 5: Solve for x
    x = 71,577,353.02/9,458.96
  6. Step 6: Final answer
    x = 7,567.15

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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.