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Finding the Fourth Proportional to 9,780.01, 14,670.47 and 2,854.51

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Solution

The fourth proportional to 9,780.01, 14,670.47 and 2,854.51 is: 4,281.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,780.01 : 14,670.47 = 2,854.51 : x
  2. Step 2: Convert to fraction form
    9,780.01/14,670.47 = 2,854.51/x
  3. Step 3: Cross multiply
    9,780.01x = 14,670.47 × 2,854.51
  4. Step 4: Simplify right side
    9,780.01x = 41,877,003.32
  5. Step 5: Solve for x
    x = 41,877,003.32/9,780.01
  6. Step 6: Final answer
    x = 4,281.90

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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.