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Finding the Fourth Proportional to 10,703.14, 14,737.35 and 9,106.90

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Solution

The fourth proportional to 10,703.14, 14,737.35 and 9,106.90 is: 12,539.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,703.14 : 14,737.35 = 9,106.90 : x
  2. Step 2: Convert to fraction form
    10,703.14/14,737.35 = 9,106.90/x
  3. Step 3: Cross multiply
    10,703.14x = 14,737.35 × 9,106.90
  4. Step 4: Simplify right side
    10,703.14x = 134,211,572.72
  5. Step 5: Solve for x
    x = 134,211,572.72/10,703.14
  6. Step 6: Final answer
    x = 12,539.46

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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.