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Finding the Fourth Proportional to 9,670.90, 13,345.02 and 5,364.11

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Solution

The fourth proportional to 9,670.90, 13,345.02 and 5,364.11 is: 7,402.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,670.90 : 13,345.02 = 5,364.11 : x
  2. Step 2: Convert to fraction form
    9,670.90/13,345.02 = 5,364.11/x
  3. Step 3: Cross multiply
    9,670.90x = 13,345.02 × 5,364.11
  4. Step 4: Simplify right side
    9,670.90x = 71,584,155.23
  5. Step 5: Solve for x
    x = 71,584,155.23/9,670.90
  6. Step 6: Final answer
    x = 7,402.02

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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.