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Finding the Fourth Proportional to 9,510.95, 14,268.58 and 5,128.31

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Solution

The fourth proportional to 9,510.95, 14,268.58 and 5,128.31 is: 7,693.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,510.95 : 14,268.58 = 5,128.31 : x
  2. Step 2: Convert to fraction form
    9,510.95/14,268.58 = 5,128.31/x
  3. Step 3: Cross multiply
    9,510.95x = 14,268.58 × 5,128.31
  4. Step 4: Simplify right side
    9,510.95x = 73,173,701.50
  5. Step 5: Solve for x
    x = 73,173,701.50/9,510.95
  6. Step 6: Final answer
    x = 7,693.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.