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Finding the Fourth Proportional to 9,730.16, 14,588.76 and 4,731.20

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Solution

The fourth proportional to 9,730.16, 14,588.76 and 4,731.20 is: 7,093.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,730.16 : 14,588.76 = 4,731.20 : x
  2. Step 2: Convert to fraction form
    9,730.16/14,588.76 = 4,731.20/x
  3. Step 3: Cross multiply
    9,730.16x = 14,588.76 × 4,731.20
  4. Step 4: Simplify right side
    9,730.16x = 69,022,341.31
  5. Step 5: Solve for x
    x = 69,022,341.31/9,730.16
  6. Step 6: Final answer
    x = 7,093.65

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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.