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Finding the Fourth Proportional to 9,852.48, 13,580.33 and 6,863.12

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Solution

The fourth proportional to 9,852.48, 13,580.33 and 6,863.12 is: 9,459.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,852.48 : 13,580.33 = 6,863.12 : x
  2. Step 2: Convert to fraction form
    9,852.48/13,580.33 = 6,863.12/x
  3. Step 3: Cross multiply
    9,852.48x = 13,580.33 × 6,863.12
  4. Step 4: Simplify right side
    9,852.48x = 93,203,332.21
  5. Step 5: Solve for x
    x = 93,203,332.21/9,852.48
  6. Step 6: Final answer
    x = 9,459.89

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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.