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Finding the Fourth Proportional to 6,948.72, 9,590.72 and 4,430.25

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Solution

The fourth proportional to 6,948.72, 9,590.72 and 4,430.25 is: 6,114.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,948.72 : 9,590.72 = 4,430.25 : x
  2. Step 2: Convert to fraction form
    6,948.72/9,590.72 = 4,430.25/x
  3. Step 3: Cross multiply
    6,948.72x = 9,590.72 × 4,430.25
  4. Step 4: Simplify right side
    6,948.72x = 42,489,287.28
  5. Step 5: Solve for x
    x = 42,489,287.28/6,948.72
  6. Step 6: Final answer
    x = 6,114.69

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