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Finding the Fourth Proportional to 9,349.40, 12,903.08 and 6,987.44

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Solution

The fourth proportional to 9,349.40, 12,903.08 and 6,987.44 is: 9,643.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,349.40 : 12,903.08 = 6,987.44 : x
  2. Step 2: Convert to fraction form
    9,349.40/12,903.08 = 6,987.44/x
  3. Step 3: Cross multiply
    9,349.40x = 12,903.08 × 6,987.44
  4. Step 4: Simplify right side
    9,349.40x = 90,159,397.86
  5. Step 5: Solve for x
    x = 90,159,397.86/9,349.40
  6. Step 6: Final answer
    x = 9,643.34

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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.