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Finding the Fourth Proportional to 9,526.83, 13,138.91 and 7,533.93

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Solution

The fourth proportional to 9,526.83, 13,138.91 and 7,533.93 is: 10,390.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,526.83 : 13,138.91 = 7,533.93 : x
  2. Step 2: Convert to fraction form
    9,526.83/13,138.91 = 7,533.93/x
  3. Step 3: Cross multiply
    9,526.83x = 13,138.91 × 7,533.93
  4. Step 4: Simplify right side
    9,526.83x = 98,987,594.16
  5. Step 5: Solve for x
    x = 98,987,594.16/9,526.83
  6. Step 6: Final answer
    x = 10,390.40

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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.