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Finding the Fourth Proportional to 9,355.32, 14,032.84 and 5,412.50

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Solution

The fourth proportional to 9,355.32, 14,032.84 and 5,412.50 is: 8,118.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,355.32 : 14,032.84 = 5,412.50 : x
  2. Step 2: Convert to fraction form
    9,355.32/14,032.84 = 5,412.50/x
  3. Step 3: Cross multiply
    9,355.32x = 14,032.84 × 5,412.50
  4. Step 4: Simplify right side
    9,355.32x = 75,952,746.50
  5. Step 5: Solve for x
    x = 75,952,746.50/9,355.32
  6. Step 6: Final answer
    x = 8,118.67

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Why These Related Problems?

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