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Finding the Fourth Proportional to 9,848.50, 13,595.94 and 7,605.34

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Solution

The fourth proportional to 9,848.50, 13,595.94 and 7,605.34 is: 10,499.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,848.50 : 13,595.94 = 7,605.34 : x
  2. Step 2: Convert to fraction form
    9,848.50/13,595.94 = 7,605.34/x
  3. Step 3: Cross multiply
    9,848.50x = 13,595.94 × 7,605.34
  4. Step 4: Simplify right side
    9,848.50x = 103,401,640.31
  5. Step 5: Solve for x
    x = 103,401,640.31/9,848.50
  6. Step 6: Final answer
    x = 10,499.23

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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.