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Finding the Fourth Proportional to 9,485.61, 13,091.45 and 5,294.13

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Solution

The fourth proportional to 9,485.61, 13,091.45 and 5,294.13 is: 7,306.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,485.61 : 13,091.45 = 5,294.13 : x
  2. Step 2: Convert to fraction form
    9,485.61/13,091.45 = 5,294.13/x
  3. Step 3: Cross multiply
    9,485.61x = 13,091.45 × 5,294.13
  4. Step 4: Simplify right side
    9,485.61x = 69,307,838.19
  5. Step 5: Solve for x
    x = 69,307,838.19/9,485.61
  6. Step 6: Final answer
    x = 7,306.63

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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.