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Finding the Fourth Proportional to 9,563.69, 14,345.53 and 2,989.93

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Solution

The fourth proportional to 9,563.69, 14,345.53 and 2,989.93 is: 4,484.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,563.69 : 14,345.53 = 2,989.93 : x
  2. Step 2: Convert to fraction form
    9,563.69/14,345.53 = 2,989.93/x
  3. Step 3: Cross multiply
    9,563.69x = 14,345.53 × 2,989.93
  4. Step 4: Simplify right side
    9,563.69x = 42,892,130.51
  5. Step 5: Solve for x
    x = 42,892,130.51/9,563.69
  6. Step 6: Final answer
    x = 4,484.90

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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.