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Finding the Fourth Proportional to 9,510.96, 14,265.72 and 2,937.18

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Solution

The fourth proportional to 9,510.96, 14,265.72 and 2,937.18 is: 4,405.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,510.96 : 14,265.72 = 2,937.18 : x
  2. Step 2: Convert to fraction form
    9,510.96/14,265.72 = 2,937.18/x
  3. Step 3: Cross multiply
    9,510.96x = 14,265.72 × 2,937.18
  4. Step 4: Simplify right side
    9,510.96x = 41,900,987.47
  5. Step 5: Solve for x
    x = 41,900,987.47/9,510.96
  6. Step 6: Final answer
    x = 4,405.55

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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.