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Finding the Fourth Proportional to 9,488.94, 13,094.55 and 5,297.10

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Solution

The fourth proportional to 9,488.94, 13,094.55 and 5,297.10 is: 7,309.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,488.94 : 13,094.55 = 5,297.10 : x
  2. Step 2: Convert to fraction form
    9,488.94/13,094.55 = 5,297.10/x
  3. Step 3: Cross multiply
    9,488.94x = 13,094.55 × 5,297.10
  4. Step 4: Simplify right side
    9,488.94x = 69,363,140.81
  5. Step 5: Solve for x
    x = 69,363,140.81/9,488.94
  6. Step 6: Final answer
    x = 7,309.89

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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.