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Finding the Fourth Proportional to 9,402.88, 12,973.02 and 5,423.48

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Solution

The fourth proportional to 9,402.88, 12,973.02 and 5,423.48 is: 7,482.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,402.88 : 12,973.02 = 5,423.48 : x
  2. Step 2: Convert to fraction form
    9,402.88/12,973.02 = 5,423.48/x
  3. Step 3: Cross multiply
    9,402.88x = 12,973.02 × 5,423.48
  4. Step 4: Simplify right side
    9,402.88x = 70,358,914.51
  5. Step 5: Solve for x
    x = 70,358,914.51/9,402.88
  6. Step 6: Final answer
    x = 7,482.70

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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.