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Finding the Fourth Proportional to 8,692.47, 13,038.75 and 6,106.95

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Solution

The fourth proportional to 8,692.47, 13,038.75 and 6,106.95 is: 9,160.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,692.47 : 13,038.75 = 6,106.95 : x
  2. Step 2: Convert to fraction form
    8,692.47/13,038.75 = 6,106.95/x
  3. Step 3: Cross multiply
    8,692.47x = 13,038.75 × 6,106.95
  4. Step 4: Simplify right side
    8,692.47x = 79,626,994.31
  5. Step 5: Solve for x
    x = 79,626,994.31/8,692.47
  6. Step 6: Final answer
    x = 9,160.46

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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.