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Finding the Fourth Proportional to 37,728.76, 56,592.93 and 9,648.77

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Solution

The fourth proportional to 37,728.76, 56,592.93 and 9,648.77 is: 14,473.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,728.76 : 56,592.93 = 9,648.77 : x
  2. Step 2: Convert to fraction form
    37,728.76/56,592.93 = 9,648.77/x
  3. Step 3: Cross multiply
    37,728.76x = 56,592.93 × 9,648.77
  4. Step 4: Simplify right side
    37,728.76x = 546,051,971.06
  5. Step 5: Solve for x
    x = 546,051,971.06/37,728.76
  6. Step 6: Final answer
    x = 14,473.10

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.