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Finding the Fourth Proportional to 9,638.76, 13,308.06 and 7,293.72

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Solution

The fourth proportional to 9,638.76, 13,308.06 and 7,293.72 is: 10,070.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,638.76 : 13,308.06 = 7,293.72 : x
  2. Step 2: Convert to fraction form
    9,638.76/13,308.06 = 7,293.72/x
  3. Step 3: Cross multiply
    9,638.76x = 13,308.06 × 7,293.72
  4. Step 4: Simplify right side
    9,638.76x = 97,065,263.38
  5. Step 5: Solve for x
    x = 97,065,263.38/9,638.76
  6. Step 6: Final answer
    x = 10,070.31

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.