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Finding the Fourth Proportional to 10,830.72, 14,957.31 and 9,330.18

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Solution

The fourth proportional to 10,830.72, 14,957.31 and 9,330.18 is: 12,885.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,830.72 : 14,957.31 = 9,330.18 : x
  2. Step 2: Convert to fraction form
    10,830.72/14,957.31 = 9,330.18/x
  3. Step 3: Cross multiply
    10,830.72x = 14,957.31 × 9,330.18
  4. Step 4: Simplify right side
    10,830.72x = 139,554,394.62
  5. Step 5: Solve for x
    x = 139,554,394.62/10,830.72
  6. Step 6: Final answer
    x = 12,885.05

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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.