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Finding the Fourth Proportional to 9,852.85, 13,597.23 and 5,376.89

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Solution

The fourth proportional to 9,852.85, 13,597.23 and 5,376.89 is: 7,420.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,852.85 : 13,597.23 = 5,376.89 : x
  2. Step 2: Convert to fraction form
    9,852.85/13,597.23 = 5,376.89/x
  3. Step 3: Cross multiply
    9,852.85x = 13,597.23 × 5,376.89
  4. Step 4: Simplify right side
    9,852.85x = 73,110,834.04
  5. Step 5: Solve for x
    x = 73,110,834.04/9,852.85
  6. Step 6: Final answer
    x = 7,420.27

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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.