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Finding the Fourth Proportional to 9,574.66, 13,212.96 and 5,325.76

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Solution

The fourth proportional to 9,574.66, 13,212.96 and 5,325.76 is: 7,349.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,574.66 : 13,212.96 = 5,325.76 : x
  2. Step 2: Convert to fraction form
    9,574.66/13,212.96 = 5,325.76/x
  3. Step 3: Cross multiply
    9,574.66x = 13,212.96 × 5,325.76
  4. Step 4: Simplify right side
    9,574.66x = 70,369,053.85
  5. Step 5: Solve for x
    x = 70,369,053.85/9,574.66
  6. Step 6: Final answer
    x = 7,349.51

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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.