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Finding the Fourth Proportional to 10,465.07, 14,406.53 and 9,068.09

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Solution

The fourth proportional to 10,465.07, 14,406.53 and 9,068.09 is: 12,483.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,465.07 : 14,406.53 = 9,068.09 : x
  2. Step 2: Convert to fraction form
    10,465.07/14,406.53 = 9,068.09/x
  3. Step 3: Cross multiply
    10,465.07x = 14,406.53 × 9,068.09
  4. Step 4: Simplify right side
    10,465.07x = 130,639,593.25
  5. Step 5: Solve for x
    x = 130,639,593.25/10,465.07
  6. Step 6: Final answer
    x = 12,483.40

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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.