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Finding the Fourth Proportional to 9,471.74, 13,071.78 and 7,897.10

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Solution

The fourth proportional to 9,471.74, 13,071.78 and 7,897.10 is: 10,898.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,471.74 : 13,071.78 = 7,897.10 : x
  2. Step 2: Convert to fraction form
    9,471.74/13,071.78 = 7,897.10/x
  3. Step 3: Cross multiply
    9,471.74x = 13,071.78 × 7,897.10
  4. Step 4: Simplify right side
    9,471.74x = 103,229,088.48
  5. Step 5: Solve for x
    x = 103,229,088.48/9,471.74
  6. Step 6: Final answer
    x = 10,898.65

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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.