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Finding the Fourth Proportional to 9,774.01, 14,652.76 and 6,645.23

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Solution

The fourth proportional to 9,774.01, 14,652.76 and 6,645.23 is: 9,962.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,774.01 : 14,652.76 = 6,645.23 : x
  2. Step 2: Convert to fraction form
    9,774.01/14,652.76 = 6,645.23/x
  3. Step 3: Cross multiply
    9,774.01x = 14,652.76 × 6,645.23
  4. Step 4: Simplify right side
    9,774.01x = 97,370,960.33
  5. Step 5: Solve for x
    x = 97,370,960.33/9,774.01
  6. Step 6: Final answer
    x = 9,962.23

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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.