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Finding the Fourth Proportional to 9,846.67, 13,588.15 and 5,370.50

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Solution

The fourth proportional to 9,846.67, 13,588.15 and 5,370.50 is: 7,411.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,846.67 : 13,588.15 = 5,370.50 : x
  2. Step 2: Convert to fraction form
    9,846.67/13,588.15 = 5,370.50/x
  3. Step 3: Cross multiply
    9,846.67x = 13,588.15 × 5,370.50
  4. Step 4: Simplify right side
    9,846.67x = 72,975,159.58
  5. Step 5: Solve for x
    x = 72,975,159.58/9,846.67
  6. Step 6: Final answer
    x = 7,411.15

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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.