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Finding the Fourth Proportional to 6,223.60, 9,335.60 and 2,328.40

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Solution

The fourth proportional to 6,223.60, 9,335.60 and 2,328.40 is: 3,492.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,223.60 : 9,335.60 = 2,328.40 : x
  2. Step 2: Convert to fraction form
    6,223.60/9,335.60 = 2,328.40/x
  3. Step 3: Cross multiply
    6,223.60x = 9,335.60 × 2,328.40
  4. Step 4: Simplify right side
    6,223.60x = 21,737,011.04
  5. Step 5: Solve for x
    x = 21,737,011.04/6,223.60
  6. Step 6: Final answer
    x = 3,492.67

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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.