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Finding the Fourth Proportional to 10,690.64, 14,737.92 and 9,437.84

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Solution

The fourth proportional to 10,690.64, 14,737.92 and 9,437.84 is: 13,010.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,690.64 : 14,737.92 = 9,437.84 : x
  2. Step 2: Convert to fraction form
    10,690.64/14,737.92 = 9,437.84/x
  3. Step 3: Cross multiply
    10,690.64x = 14,737.92 × 9,437.84
  4. Step 4: Simplify right side
    10,690.64x = 139,094,130.89
  5. Step 5: Solve for x
    x = 139,094,130.89/10,690.64
  6. Step 6: Final answer
    x = 13,010.83

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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.