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Finding the Fourth Proportional to 9,842.59, 13,584 and 5,650.75

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Solution

The fourth proportional to 9,842.59, 13,584 and 5,650.75 is: 7,798.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,842.59 : 13,584 = 5,650.75 : x
  2. Step 2: Convert to fraction form
    9,842.59/13,584 = 5,650.75/x
  3. Step 3: Cross multiply
    9,842.59x = 13,584 × 5,650.75
  4. Step 4: Simplify right side
    9,842.59x = 76,759,788
  5. Step 5: Solve for x
    x = 76,759,788/9,842.59
  6. Step 6: Final answer
    x = 7,798.74

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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.