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Finding the Fourth Proportional to 9,485.58, 13,090.14 and 5,506.86

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Solution

The fourth proportional to 9,485.58, 13,090.14 and 5,506.86 is: 7,599.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,485.58 : 13,090.14 = 5,506.86 : x
  2. Step 2: Convert to fraction form
    9,485.58/13,090.14 = 5,506.86/x
  3. Step 3: Cross multiply
    9,485.58x = 13,090.14 × 5,506.86
  4. Step 4: Simplify right side
    9,485.58x = 72,085,568.36
  5. Step 5: Solve for x
    x = 72,085,568.36/9,485.58
  6. Step 6: Final answer
    x = 7,599.49

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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.