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Finding the Fourth Proportional to 9,749.58, 13,465.35 and 6,600.30

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Solution

The fourth proportional to 9,749.58, 13,465.35 and 6,600.30 is: 9,115.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,749.58 : 13,465.35 = 6,600.30 : x
  2. Step 2: Convert to fraction form
    9,749.58/13,465.35 = 6,600.30/x
  3. Step 3: Cross multiply
    9,749.58x = 13,465.35 × 6,600.30
  4. Step 4: Simplify right side
    9,749.58x = 88,875,349.61
  5. Step 5: Solve for x
    x = 88,875,349.61/9,749.58
  6. Step 6: Final answer
    x = 9,115.81

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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.