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Finding the Fourth Proportional to 9,718.96, 13,401.54 and 6,569.68

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Solution

The fourth proportional to 9,718.96, 13,401.54 and 6,569.68 is: 9,058.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,718.96 : 13,401.54 = 6,569.68 : x
  2. Step 2: Convert to fraction form
    9,718.96/13,401.54 = 6,569.68/x
  3. Step 3: Cross multiply
    9,718.96x = 13,401.54 × 6,569.68
  4. Step 4: Simplify right side
    9,718.96x = 88,043,829.31
  5. Step 5: Solve for x
    x = 88,043,829.31/9,718.96
  6. Step 6: Final answer
    x = 9,058.98

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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.