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Finding the Fourth Proportional to 9,456.48, 13,050.72 and 5,265

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Solution

The fourth proportional to 9,456.48, 13,050.72 and 5,265 is: 7,266.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,456.48 : 13,050.72 = 5,265 : x
  2. Step 2: Convert to fraction form
    9,456.48/13,050.72 = 5,265/x
  3. Step 3: Cross multiply
    9,456.48x = 13,050.72 × 5,265
  4. Step 4: Simplify right side
    9,456.48x = 68,712,040.80
  5. Step 5: Solve for x
    x = 68,712,040.80/9,456.48
  6. Step 6: Final answer
    x = 7,266.13

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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.