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Finding the Fourth Proportional to 10,397.64, 14,312.58 and 9,069.03

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Solution

The fourth proportional to 10,397.64, 14,312.58 and 9,069.03 is: 12,483.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,397.64 : 14,312.58 = 9,069.03 : x
  2. Step 2: Convert to fraction form
    10,397.64/14,312.58 = 9,069.03/x
  3. Step 3: Cross multiply
    10,397.64x = 14,312.58 × 9,069.03
  4. Step 4: Simplify right side
    10,397.64x = 129,801,217.40
  5. Step 5: Solve for x
    x = 129,801,217.40/10,397.64
  6. Step 6: Final answer
    x = 12,483.72

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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.