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Finding the Fourth Proportional to 9,246.16, 13,866.75 and 4,310.98

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Solution

The fourth proportional to 9,246.16, 13,866.75 and 4,310.98 is: 6,465.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,246.16 : 13,866.75 = 4,310.98 : x
  2. Step 2: Convert to fraction form
    9,246.16/13,866.75 = 4,310.98/x
  3. Step 3: Cross multiply
    9,246.16x = 13,866.75 × 4,310.98
  4. Step 4: Simplify right side
    9,246.16x = 59,779,281.92
  5. Step 5: Solve for x
    x = 59,779,281.92/9,246.16
  6. Step 6: Final answer
    x = 6,465.31

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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.