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Finding the Fourth Proportional to 9,510.16, 14,269.34 and 3,670.87

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Solution

The fourth proportional to 9,510.16, 14,269.34 and 3,670.87 is: 5,507.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,510.16 : 14,269.34 = 3,670.87 : x
  2. Step 2: Convert to fraction form
    9,510.16/14,269.34 = 3,670.87/x
  3. Step 3: Cross multiply
    9,510.16x = 14,269.34 × 3,670.87
  4. Step 4: Simplify right side
    9,510.16x = 52,380,892.13
  5. Step 5: Solve for x
    x = 52,380,892.13/9,510.16
  6. Step 6: Final answer
    x = 5,507.89

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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.