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Finding the Fourth Proportional to 9,352.64, 14,030.64 and 2,688.81

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Solution

The fourth proportional to 9,352.64, 14,030.64 and 2,688.81 is: 4,033.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,352.64 : 14,030.64 = 2,688.81 : x
  2. Step 2: Convert to fraction form
    9,352.64/14,030.64 = 2,688.81/x
  3. Step 3: Cross multiply
    9,352.64x = 14,030.64 × 2,688.81
  4. Step 4: Simplify right side
    9,352.64x = 37,725,725.14
  5. Step 5: Solve for x
    x = 37,725,725.14/9,352.64
  6. Step 6: Final answer
    x = 4,033.70

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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.