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Finding the Fourth Proportional to 9,346.25, 12,897.77 and 5,097.23

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Solution

The fourth proportional to 9,346.25, 12,897.77 and 5,097.23 is: 7,034.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,346.25 : 12,897.77 = 5,097.23 : x
  2. Step 2: Convert to fraction form
    9,346.25/12,897.77 = 5,097.23/x
  3. Step 3: Cross multiply
    9,346.25x = 12,897.77 × 5,097.23
  4. Step 4: Simplify right side
    9,346.25x = 65,742,880.07
  5. Step 5: Solve for x
    x = 65,742,880.07/9,346.25
  6. Step 6: Final answer
    x = 7,034.15

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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.