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Finding the Fourth Proportional to 9,435.16, 14,152.72 and 2,509.66

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Solution

The fourth proportional to 9,435.16, 14,152.72 and 2,509.66 is: 3,764.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,435.16 : 14,152.72 = 2,509.66 : x
  2. Step 2: Convert to fraction form
    9,435.16/14,152.72 = 2,509.66/x
  3. Step 3: Cross multiply
    9,435.16x = 14,152.72 × 2,509.66
  4. Step 4: Simplify right side
    9,435.16x = 35,518,515.28
  5. Step 5: Solve for x
    x = 35,518,515.28/9,435.16
  6. Step 6: Final answer
    x = 3,764.48

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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.