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Finding the Fourth Proportional to 6,937.06, 9,573.15 and 4,457.38

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Solution

The fourth proportional to 6,937.06, 9,573.15 and 4,457.38 is: 6,151.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,937.06 : 9,573.15 = 4,457.38 : x
  2. Step 2: Convert to fraction form
    6,937.06/9,573.15 = 4,457.38/x
  3. Step 3: Cross multiply
    6,937.06x = 9,573.15 × 4,457.38
  4. Step 4: Simplify right side
    6,937.06x = 42,671,167.35
  5. Step 5: Solve for x
    x = 42,671,167.35/6,937.06
  6. Step 6: Final answer
    x = 6,151.19

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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.