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Finding the Fourth Proportional to 6,929.96, 9,560 and 4,538.86

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Solution

The fourth proportional to 6,929.96, 9,560 and 4,538.86 is: 6,261.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,929.96 : 9,560 = 4,538.86 : x
  2. Step 2: Convert to fraction form
    6,929.96/9,560 = 4,538.86/x
  3. Step 3: Cross multiply
    6,929.96x = 9,560 × 4,538.86
  4. Step 4: Simplify right side
    6,929.96x = 43,391,501.60
  5. Step 5: Solve for x
    x = 43,391,501.60/6,929.96
  6. Step 6: Final answer
    x = 6,261.44

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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.