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Finding the Fourth Proportional to 9,574.34, 13,210.63 and 5,594.67

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Solution

The fourth proportional to 9,574.34, 13,210.63 and 5,594.67 is: 7,719.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,574.34 : 13,210.63 = 5,594.67 : x
  2. Step 2: Convert to fraction form
    9,574.34/13,210.63 = 5,594.67/x
  3. Step 3: Cross multiply
    9,574.34x = 13,210.63 × 5,594.67
  4. Step 4: Simplify right side
    9,574.34x = 73,909,150.90
  5. Step 5: Solve for x
    x = 73,909,150.90/9,574.34
  6. Step 6: Final answer
    x = 7,719.50

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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.