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Finding the Fourth Proportional to 9,783.23, 14,692.16 and 9,001.58

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Solution

The fourth proportional to 9,783.23, 14,692.16 and 9,001.58 is: 13,518.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,783.23 : 14,692.16 = 9,001.58 : x
  2. Step 2: Convert to fraction form
    9,783.23/14,692.16 = 9,001.58/x
  3. Step 3: Cross multiply
    9,783.23x = 14,692.16 × 9,001.58
  4. Step 4: Simplify right side
    9,783.23x = 132,252,602.66
  5. Step 5: Solve for x
    x = 132,252,602.66/9,783.23
  6. Step 6: Final answer
    x = 13,518.30

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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.