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Finding the Fourth Proportional to 9,656.34, 14,484.51 and 4,461.54

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Solution

The fourth proportional to 9,656.34, 14,484.51 and 4,461.54 is: 6,692.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,656.34 : 14,484.51 = 4,461.54 : x
  2. Step 2: Convert to fraction form
    9,656.34/14,484.51 = 4,461.54/x
  3. Step 3: Cross multiply
    9,656.34x = 14,484.51 × 4,461.54
  4. Step 4: Simplify right side
    9,656.34x = 64,623,220.75
  5. Step 5: Solve for x
    x = 64,623,220.75/9,656.34
  6. Step 6: Final answer
    x = 6,692.31

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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.