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Finding the Fourth Proportional to 9,907.46, 13,667.59 and 5,927.77

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Solution

The fourth proportional to 9,907.46, 13,667.59 and 5,927.77 is: 8,177.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,907.46 : 13,667.59 = 5,927.77 : x
  2. Step 2: Convert to fraction form
    9,907.46/13,667.59 = 5,927.77/x
  3. Step 3: Cross multiply
    9,907.46x = 13,667.59 × 5,927.77
  4. Step 4: Simplify right side
    9,907.46x = 81,018,300.34
  5. Step 5: Solve for x
    x = 81,018,300.34/9,907.46
  6. Step 6: Final answer
    x = 8,177.50

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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.