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Finding the Fourth Proportional to 9,503.36, 14,247.04 and 4,307.84

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Solution

The fourth proportional to 9,503.36, 14,247.04 and 4,307.84 is: 6,458.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,503.36 : 14,247.04 = 4,307.84 : x
  2. Step 2: Convert to fraction form
    9,503.36/14,247.04 = 4,307.84/x
  3. Step 3: Cross multiply
    9,503.36x = 14,247.04 × 4,307.84
  4. Step 4: Simplify right side
    9,503.36x = 61,373,968.79
  5. Step 5: Solve for x
    x = 61,373,968.79/9,503.36
  6. Step 6: Final answer
    x = 6,458.13

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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.