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Finding the Fourth Proportional to 9,618.86, 14,417.80 and 4,932.34

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Solution

The fourth proportional to 9,618.86, 14,417.80 and 4,932.34 is: 7,393.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,618.86 : 14,417.80 = 4,932.34 : x
  2. Step 2: Convert to fraction form
    9,618.86/14,417.80 = 4,932.34/x
  3. Step 3: Cross multiply
    9,618.86x = 14,417.80 × 4,932.34
  4. Step 4: Simplify right side
    9,618.86x = 71,113,491.65
  5. Step 5: Solve for x
    x = 71,113,491.65/9,618.86
  6. Step 6: Final answer
    x = 7,393.13

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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.