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Finding the Fourth Proportional to 9,130.69, 13,697.48 and 2,973.25

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Solution

The fourth proportional to 9,130.69, 13,697.48 and 2,973.25 is: 4,460.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,130.69 : 13,697.48 = 2,973.25 : x
  2. Step 2: Convert to fraction form
    9,130.69/13,697.48 = 2,973.25/x
  3. Step 3: Cross multiply
    9,130.69x = 13,697.48 × 2,973.25
  4. Step 4: Simplify right side
    9,130.69x = 40,726,032.41
  5. Step 5: Solve for x
    x = 40,726,032.41/9,130.69
  6. Step 6: Final answer
    x = 4,460.35

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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.