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Finding the Fourth Proportional to 9,827.16, 13,561.53 and 5,848.41

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Solution

The fourth proportional to 9,827.16, 13,561.53 and 5,848.41 is: 8,070.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,827.16 : 13,561.53 = 5,848.41 : x
  2. Step 2: Convert to fraction form
    9,827.16/13,561.53 = 5,848.41/x
  3. Step 3: Cross multiply
    9,827.16x = 13,561.53 × 5,848.41
  4. Step 4: Simplify right side
    9,827.16x = 79,313,387.67
  5. Step 5: Solve for x
    x = 79,313,387.67/9,827.16
  6. Step 6: Final answer
    x = 8,070.84

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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.