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Finding the Fourth Proportional to 7,053.48, 9,731.52 and 4,696.02

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Solution

The fourth proportional to 7,053.48, 9,731.52 and 4,696.02 is: 6,478.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,053.48 : 9,731.52 = 4,696.02 : x
  2. Step 2: Convert to fraction form
    7,053.48/9,731.52 = 4,696.02/x
  3. Step 3: Cross multiply
    7,053.48x = 9,731.52 × 4,696.02
  4. Step 4: Simplify right side
    7,053.48x = 45,699,412.55
  5. Step 5: Solve for x
    x = 45,699,412.55/7,053.48
  6. Step 6: Final answer
    x = 6,478.99

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.