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Finding the Fourth Proportional to 9,024.64, 12,455.52 and 7,530.16

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Solution

The fourth proportional to 9,024.64, 12,455.52 and 7,530.16 is: 10,392.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,024.64 : 12,455.52 = 7,530.16 : x
  2. Step 2: Convert to fraction form
    9,024.64/12,455.52 = 7,530.16/x
  3. Step 3: Cross multiply
    9,024.64x = 12,455.52 × 7,530.16
  4. Step 4: Simplify right side
    9,024.64x = 93,792,058.48
  5. Step 5: Solve for x
    x = 93,792,058.48/9,024.64
  6. Step 6: Final answer
    x = 10,392.89

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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.