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Finding the Fourth Proportional to 10,134.06, 15,064.32 and 9,835.08

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Solution

The fourth proportional to 10,134.06, 15,064.32 and 9,835.08 is: 14,619.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,134.06 : 15,064.32 = 9,835.08 : x
  2. Step 2: Convert to fraction form
    10,134.06/15,064.32 = 9,835.08/x
  3. Step 3: Cross multiply
    10,134.06x = 15,064.32 × 9,835.08
  4. Step 4: Simplify right side
    10,134.06x = 148,158,792.35
  5. Step 5: Solve for x
    x = 148,158,792.35/10,134.06
  6. Step 6: Final answer
    x = 14,619.89

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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.