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Finding the Fourth Proportional to 9,445.88, 13,044.75 and 7,783.76

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Solution

The fourth proportional to 9,445.88, 13,044.75 and 7,783.76 is: 10,749.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,445.88 : 13,044.75 = 7,783.76 : x
  2. Step 2: Convert to fraction form
    9,445.88/13,044.75 = 7,783.76/x
  3. Step 3: Cross multiply
    9,445.88x = 13,044.75 × 7,783.76
  4. Step 4: Simplify right side
    9,445.88x = 101,537,203.26
  5. Step 5: Solve for x
    x = 101,537,203.26/9,445.88
  6. Step 6: Final answer
    x = 10,749.36

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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.