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Finding the Fourth Proportional to 9,675.18, 14,510.81 and 3,435.08

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Solution

The fourth proportional to 9,675.18, 14,510.81 and 3,435.08 is: 5,151.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,675.18 : 14,510.81 = 3,435.08 : x
  2. Step 2: Convert to fraction form
    9,675.18/14,510.81 = 3,435.08/x
  3. Step 3: Cross multiply
    9,675.18x = 14,510.81 × 3,435.08
  4. Step 4: Simplify right side
    9,675.18x = 49,845,729.25
  5. Step 5: Solve for x
    x = 49,845,729.25/9,675.18
  6. Step 6: Final answer
    x = 5,151.92

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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.