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Finding the Fourth Proportional to 10,526.33, 15,784.01 and 9,327.22

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Solution

The fourth proportional to 10,526.33, 15,784.01 and 9,327.22 is: 13,985.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,526.33 : 15,784.01 = 9,327.22 : x
  2. Step 2: Convert to fraction form
    10,526.33/15,784.01 = 9,327.22/x
  3. Step 3: Cross multiply
    10,526.33x = 15,784.01 × 9,327.22
  4. Step 4: Simplify right side
    10,526.33x = 147,220,808.20
  5. Step 5: Solve for x
    x = 147,220,808.20/10,526.33
  6. Step 6: Final answer
    x = 13,985.96

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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.