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Finding the Fourth Proportional to 9,688.75, 14,533.04 and 6,416.48

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Solution

The fourth proportional to 9,688.75, 14,533.04 and 6,416.48 is: 9,624.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,688.75 : 14,533.04 = 6,416.48 : x
  2. Step 2: Convert to fraction form
    9,688.75/14,533.04 = 6,416.48/x
  3. Step 3: Cross multiply
    9,688.75x = 14,533.04 × 6,416.48
  4. Step 4: Simplify right side
    9,688.75x = 93,250,928.42
  5. Step 5: Solve for x
    x = 93,250,928.42/9,688.75
  6. Step 6: Final answer
    x = 9,624.67

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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.