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Finding the Fourth Proportional to 9,569.48, 13,197.96 and 6,746.24

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Solution

The fourth proportional to 9,569.48, 13,197.96 and 6,746.24 is: 9,304.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,569.48 : 13,197.96 = 6,746.24 : x
  2. Step 2: Convert to fraction form
    9,569.48/13,197.96 = 6,746.24/x
  3. Step 3: Cross multiply
    9,569.48x = 13,197.96 × 6,746.24
  4. Step 4: Simplify right side
    9,569.48x = 89,036,605.67
  5. Step 5: Solve for x
    x = 89,036,605.67/9,569.48
  6. Step 6: Final answer
    x = 9,304.23

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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.