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Finding the Fourth Proportional to 9,688.80, 14,533.20 and 7,499.10

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Solution

The fourth proportional to 9,688.80, 14,533.20 and 7,499.10 is: 11,248.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,688.80 : 14,533.20 = 7,499.10 : x
  2. Step 2: Convert to fraction form
    9,688.80/14,533.20 = 7,499.10/x
  3. Step 3: Cross multiply
    9,688.80x = 14,533.20 × 7,499.10
  4. Step 4: Simplify right side
    9,688.80x = 108,985,920.12
  5. Step 5: Solve for x
    x = 108,985,920.12/9,688.80
  6. Step 6: Final answer
    x = 11,248.65

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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.