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Finding the Fourth Proportional to 9,783.02, 14,663.52 and 4,856.20

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Solution

The fourth proportional to 9,783.02, 14,663.52 and 4,856.20 is: 7,278.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,783.02 : 14,663.52 = 4,856.20 : x
  2. Step 2: Convert to fraction form
    9,783.02/14,663.52 = 4,856.20/x
  3. Step 3: Cross multiply
    9,783.02x = 14,663.52 × 4,856.20
  4. Step 4: Simplify right side
    9,783.02x = 71,208,985.82
  5. Step 5: Solve for x
    x = 71,208,985.82/9,783.02
  6. Step 6: Final answer
    x = 7,278.83

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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.