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Finding the Fourth Proportional to 9,170.18, 12,636.70 and 6,510.14

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Solution

The fourth proportional to 9,170.18, 12,636.70 and 6,510.14 is: 8,971.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,170.18 : 12,636.70 = 6,510.14 : x
  2. Step 2: Convert to fraction form
    9,170.18/12,636.70 = 6,510.14/x
  3. Step 3: Cross multiply
    9,170.18x = 12,636.70 × 6,510.14
  4. Step 4: Simplify right side
    9,170.18x = 82,266,686.14
  5. Step 5: Solve for x
    x = 82,266,686.14/9,170.18
  6. Step 6: Final answer
    x = 8,971.11

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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.