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Finding the Fourth Proportional to 10,323.93, 14,248.22 and 9,690.58

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Solution

The fourth proportional to 10,323.93, 14,248.22 and 9,690.58 is: 13,374.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,323.93 : 14,248.22 = 9,690.58 : x
  2. Step 2: Convert to fraction form
    10,323.93/14,248.22 = 9,690.58/x
  3. Step 3: Cross multiply
    10,323.93x = 14,248.22 × 9,690.58
  4. Step 4: Simplify right side
    10,323.93x = 138,073,515.77
  5. Step 5: Solve for x
    x = 138,073,515.77/10,323.93
  6. Step 6: Final answer
    x = 13,374.12

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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.