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Finding the Fourth Proportional to 9,830.30, 14,735.06 and 7,055.46

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Solution

The fourth proportional to 9,830.30, 14,735.06 and 7,055.46 is: 10,575.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,830.30 : 14,735.06 = 7,055.46 : x
  2. Step 2: Convert to fraction form
    9,830.30/14,735.06 = 7,055.46/x
  3. Step 3: Cross multiply
    9,830.30x = 14,735.06 × 7,055.46
  4. Step 4: Simplify right side
    9,830.30x = 103,962,645.63
  5. Step 5: Solve for x
    x = 103,962,645.63/9,830.30
  6. Step 6: Final answer
    x = 10,575.74

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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.