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Finding the Fourth Proportional to 9,533, 14,303.82 and 4,601.72

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Solution

The fourth proportional to 9,533, 14,303.82 and 4,601.72 is: 6,904.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,533 : 14,303.82 = 4,601.72 : x
  2. Step 2: Convert to fraction form
    9,533/14,303.82 = 4,601.72/x
  3. Step 3: Cross multiply
    9,533x = 14,303.82 × 4,601.72
  4. Step 4: Simplify right side
    9,533x = 65,822,174.57
  5. Step 5: Solve for x
    x = 65,822,174.57/9,533
  6. Step 6: Final answer
    x = 6,904.67

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.