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Finding the Fourth Proportional to 9,849.30, 13,597.06 and 7,606.14

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Solution

The fourth proportional to 9,849.30, 13,597.06 and 7,606.14 is: 10,500.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,849.30 : 13,597.06 = 7,606.14 : x
  2. Step 2: Convert to fraction form
    9,849.30/13,597.06 = 7,606.14/x
  3. Step 3: Cross multiply
    9,849.30x = 13,597.06 × 7,606.14
  4. Step 4: Simplify right side
    9,849.30x = 103,421,141.95
  5. Step 5: Solve for x
    x = 103,421,141.95/9,849.30
  6. Step 6: Final answer
    x = 10,500.35

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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.