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Finding the Fourth Proportional to 6,830.53, 9,425.46 and 5,038.98

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Solution

The fourth proportional to 6,830.53, 9,425.46 and 5,038.98 is: 6,953.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,830.53 : 9,425.46 = 5,038.98 : x
  2. Step 2: Convert to fraction form
    6,830.53/9,425.46 = 5,038.98/x
  3. Step 3: Cross multiply
    6,830.53x = 9,425.46 × 5,038.98
  4. Step 4: Simplify right side
    6,830.53x = 47,494,767.51
  5. Step 5: Solve for x
    x = 47,494,767.51/6,830.53
  6. Step 6: Final answer
    x = 6,953.31

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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.