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Finding the Fourth Proportional to 6,509.56, 9,762.32 and 2,349.02

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Solution

The fourth proportional to 6,509.56, 9,762.32 and 2,349.02 is: 3,522.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,509.56 : 9,762.32 = 2,349.02 : x
  2. Step 2: Convert to fraction form
    6,509.56/9,762.32 = 2,349.02/x
  3. Step 3: Cross multiply
    6,509.56x = 9,762.32 × 2,349.02
  4. Step 4: Simplify right side
    6,509.56x = 22,931,897.59
  5. Step 5: Solve for x
    x = 22,931,897.59/6,509.56
  6. Step 6: Final answer
    x = 3,522.80

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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.