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Finding the Fourth Proportional to 9,637.65, 14,365.14 and 8,927.46

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Solution

The fourth proportional to 9,637.65, 14,365.14 and 8,927.46 is: 13,306.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,637.65 : 14,365.14 = 8,927.46 : x
  2. Step 2: Convert to fraction form
    9,637.65/14,365.14 = 8,927.46/x
  3. Step 3: Cross multiply
    9,637.65x = 14,365.14 × 8,927.46
  4. Step 4: Simplify right side
    9,637.65x = 128,244,212.74
  5. Step 5: Solve for x
    x = 128,244,212.74/9,637.65
  6. Step 6: Final answer
    x = 13,306.59

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.