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Finding the Fourth Proportional to 9,638.56, 14,458.20 and 4,712.50

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Solution

The fourth proportional to 9,638.56, 14,458.20 and 4,712.50 is: 7,068.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,638.56 : 14,458.20 = 4,712.50 : x
  2. Step 2: Convert to fraction form
    9,638.56/14,458.20 = 4,712.50/x
  3. Step 3: Cross multiply
    9,638.56x = 14,458.20 × 4,712.50
  4. Step 4: Simplify right side
    9,638.56x = 68,134,267.50
  5. Step 5: Solve for x
    x = 68,134,267.50/9,638.56
  6. Step 6: Final answer
    x = 7,068.93

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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.