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Finding the Fourth Proportional to 9,916.14, 14,933.58 and 9,030.40

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Solution

The fourth proportional to 9,916.14, 14,933.58 and 9,030.40 is: 13,599.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,916.14 : 14,933.58 = 9,030.40 : x
  2. Step 2: Convert to fraction form
    9,916.14/14,933.58 = 9,030.40/x
  3. Step 3: Cross multiply
    9,916.14x = 14,933.58 × 9,030.40
  4. Step 4: Simplify right side
    9,916.14x = 134,856,264.43
  5. Step 5: Solve for x
    x = 134,856,264.43/9,916.14
  6. Step 6: Final answer
    x = 13,599.68

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.