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Finding the Fourth Proportional to 9,765.09, 14,653.71 and 6,647.40

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Solution

The fourth proportional to 9,765.09, 14,653.71 and 6,647.40 is: 9,975.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,765.09 : 14,653.71 = 6,647.40 : x
  2. Step 2: Convert to fraction form
    9,765.09/14,653.71 = 6,647.40/x
  3. Step 3: Cross multiply
    9,765.09x = 14,653.71 × 6,647.40
  4. Step 4: Simplify right side
    9,765.09x = 97,409,071.85
  5. Step 5: Solve for x
    x = 97,409,071.85/9,765.09
  6. Step 6: Final answer
    x = 9,975.24

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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.