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Finding the Fourth Proportional to 8,907.47, 13,362.57 and 6,460.76

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Solution

The fourth proportional to 8,907.47, 13,362.57 and 6,460.76 is: 9,692.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,907.47 : 13,362.57 = 6,460.76 : x
  2. Step 2: Convert to fraction form
    8,907.47/13,362.57 = 6,460.76/x
  3. Step 3: Cross multiply
    8,907.47x = 13,362.57 × 6,460.76
  4. Step 4: Simplify right side
    8,907.47x = 86,332,391.16
  5. Step 5: Solve for x
    x = 86,332,391.16/8,907.47
  6. Step 6: Final answer
    x = 9,692.14

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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.