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Finding the Fourth Proportional to 9,485.74, 13,090.98 and 5,294

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Solution

The fourth proportional to 9,485.74, 13,090.98 and 5,294 is: 7,306.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,485.74 : 13,090.98 = 5,294 : x
  2. Step 2: Convert to fraction form
    9,485.74/13,090.98 = 5,294/x
  3. Step 3: Cross multiply
    9,485.74x = 13,090.98 × 5,294
  4. Step 4: Simplify right side
    9,485.74x = 69,303,648.12
  5. Step 5: Solve for x
    x = 69,303,648.12/9,485.74
  6. Step 6: Final answer
    x = 7,306.09

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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.