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Finding the Fourth Proportional to 9,173.95, 12,646.74 and 6,780.40

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Solution

The fourth proportional to 9,173.95, 12,646.74 and 6,780.40 is: 9,347.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,173.95 : 12,646.74 = 6,780.40 : x
  2. Step 2: Convert to fraction form
    9,173.95/12,646.74 = 6,780.40/x
  3. Step 3: Cross multiply
    9,173.95x = 12,646.74 × 6,780.40
  4. Step 4: Simplify right side
    9,173.95x = 85,749,955.90
  5. Step 5: Solve for x
    x = 85,749,955.90/9,173.95
  6. Step 6: Final answer
    x = 9,347.11

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.