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Finding the Fourth Proportional to 10,342.28, 14,275.04 and 6,567.28

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Solution

The fourth proportional to 10,342.28, 14,275.04 and 6,567.28 is: 9,064.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,342.28 : 14,275.04 = 6,567.28 : x
  2. Step 2: Convert to fraction form
    10,342.28/14,275.04 = 6,567.28/x
  3. Step 3: Cross multiply
    10,342.28x = 14,275.04 × 6,567.28
  4. Step 4: Simplify right side
    10,342.28x = 93,748,116.17
  5. Step 5: Solve for x
    x = 93,748,116.17/10,342.28
  6. Step 6: Final answer
    x = 9,064.55

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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.