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Finding the Fourth Proportional to 9,870.24, 14,678.42 and 9,558.77

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Solution

The fourth proportional to 9,870.24, 14,678.42 and 9,558.77 is: 14,215.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,870.24 : 14,678.42 = 9,558.77 : x
  2. Step 2: Convert to fraction form
    9,870.24/14,678.42 = 9,558.77/x
  3. Step 3: Cross multiply
    9,870.24x = 14,678.42 × 9,558.77
  4. Step 4: Simplify right side
    9,870.24x = 140,307,519.56
  5. Step 5: Solve for x
    x = 140,307,519.56/9,870.24
  6. Step 6: Final answer
    x = 14,215.20

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.