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Finding the Fourth Proportional to 10,338.40, 15,488.06 and 6,109.03

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Solution

The fourth proportional to 10,338.40, 15,488.06 and 6,109.03 is: 9,152.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,338.40 : 15,488.06 = 6,109.03 : x
  2. Step 2: Convert to fraction form
    10,338.40/15,488.06 = 6,109.03/x
  3. Step 3: Cross multiply
    10,338.40x = 15,488.06 × 6,109.03
  4. Step 4: Simplify right side
    10,338.40x = 94,617,068.14
  5. Step 5: Solve for x
    x = 94,617,068.14/10,338.40
  6. Step 6: Final answer
    x = 9,152.01

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.